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Finding the Fourth Proportional to 1,130.76, 1,560.42 and 658.65

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Solution

The fourth proportional to 1,130.76, 1,560.42 and 658.65 is: 908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.76 : 1,560.42 = 658.65 : x
  2. Step 2: Convert to fraction form
    1,130.76/1,560.42 = 658.65/x
  3. Step 3: Cross multiply
    1,130.76x = 1,560.42 × 658.65
  4. Step 4: Simplify right side
    1,130.76x = 1,027,770.63
  5. Step 5: Solve for x
    x = 1,027,770.63/1,130.76
  6. Step 6: Final answer
    x = 908.92

Related Problems

Find fourth proportional to 565.38, 780.21 and 329.33
Half scale
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Double scale
Find fourth proportional to 1,131.76, 1,561.80 and 659.65
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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.