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Finding the Fourth Proportional to 763.50, 1,053.78 and 431.96

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Solution

The fourth proportional to 763.50, 1,053.78 and 431.96 is: 596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.50 : 1,053.78 = 431.96 : x
  2. Step 2: Convert to fraction form
    763.50/1,053.78 = 431.96/x
  3. Step 3: Cross multiply
    763.50x = 1,053.78 × 431.96
  4. Step 4: Simplify right side
    763.50x = 455,185.54
  5. Step 5: Solve for x
    x = 455,185.54/763.50
  6. Step 6: Final answer
    x = 596.18

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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.