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Finding the Fourth Proportional to 1,122.75, 1,550.61 and 774.45

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Solution

The fourth proportional to 1,122.75, 1,550.61 and 774.45 is: 1,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.75 : 1,550.61 = 774.45 : x
  2. Step 2: Convert to fraction form
    1,122.75/1,550.61 = 774.45/x
  3. Step 3: Cross multiply
    1,122.75x = 1,550.61 × 774.45
  4. Step 4: Simplify right side
    1,122.75x = 1,200,869.91
  5. Step 5: Solve for x
    x = 1,200,869.91/1,122.75
  6. Step 6: Final answer
    x = 1,069.58

Related Problems

Find fourth proportional to 561.38, 775.31 and 387.23
Half scale
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Double scale
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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.