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Finding the Fourth Proportional to 1,182.70, 1,632.18 and 658.75

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Solution

The fourth proportional to 1,182.70, 1,632.18 and 658.75 is: 909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.70 : 1,632.18 = 658.75 : x
  2. Step 2: Convert to fraction form
    1,182.70/1,632.18 = 658.75/x
  3. Step 3: Cross multiply
    1,182.70x = 1,632.18 × 658.75
  4. Step 4: Simplify right side
    1,182.70x = 1,075,198.58
  5. Step 5: Solve for x
    x = 1,075,198.58/1,182.70
  6. Step 6: Final answer
    x = 909.11

Related Problems

Find fourth proportional to 591.35, 816.09 and 329.38
Half scale
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Double scale
Find fourth proportional to 1,183.70, 1,633.56 and 659.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.