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Finding the Fourth Proportional to 756.91, 1,044.39 and 477.19

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Solution

The fourth proportional to 756.91, 1,044.39 and 477.19 is: 658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.91 : 1,044.39 = 477.19 : x
  2. Step 2: Convert to fraction form
    756.91/1,044.39 = 477.19/x
  3. Step 3: Cross multiply
    756.91x = 1,044.39 × 477.19
  4. Step 4: Simplify right side
    756.91x = 498,372.46
  5. Step 5: Solve for x
    x = 498,372.46/756.91
  6. Step 6: Final answer
    x = 658.43

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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.