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Finding the Fourth Proportional to 756.62, 1,044.09 and 476.76

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Solution

The fourth proportional to 756.62, 1,044.09 and 476.76 is: 657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.62 : 1,044.09 = 476.76 : x
  2. Step 2: Convert to fraction form
    756.62/1,044.09 = 476.76/x
  3. Step 3: Cross multiply
    756.62x = 1,044.09 × 476.76
  4. Step 4: Simplify right side
    756.62x = 497,780.35
  5. Step 5: Solve for x
    x = 497,780.35/756.62
  6. Step 6: Final answer
    x = 657.90

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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.