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Finding the Fourth Proportional to 763.25, 1,053.14 and 431.75

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Solution

The fourth proportional to 763.25, 1,053.14 and 431.75 is: 595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.25 : 1,053.14 = 431.75 : x
  2. Step 2: Convert to fraction form
    763.25/1,053.14 = 431.75/x
  3. Step 3: Cross multiply
    763.25x = 1,053.14 × 431.75
  4. Step 4: Simplify right side
    763.25x = 454,693.67
  5. Step 5: Solve for x
    x = 454,693.67/763.25
  6. Step 6: Final answer
    x = 595.74

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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.