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Finding the Fourth Proportional to 757.17, 1,044.54 and 462.51

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Solution

The fourth proportional to 757.17, 1,044.54 and 462.51 is: 638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.17 : 1,044.54 = 462.51 : x
  2. Step 2: Convert to fraction form
    757.17/1,044.54 = 462.51/x
  3. Step 3: Cross multiply
    757.17x = 1,044.54 × 462.51
  4. Step 4: Simplify right side
    757.17x = 483,110.20
  5. Step 5: Solve for x
    x = 483,110.20/757.17
  6. Step 6: Final answer
    x = 638.05

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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.