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Finding the Fourth Proportional to 765.31, 1,056.13 and 433.80

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Solution

The fourth proportional to 765.31, 1,056.13 and 433.80 is: 598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.31 : 1,056.13 = 433.80 : x
  2. Step 2: Convert to fraction form
    765.31/1,056.13 = 433.80/x
  3. Step 3: Cross multiply
    765.31x = 1,056.13 × 433.80
  4. Step 4: Simplify right side
    765.31x = 458,149.19
  5. Step 5: Solve for x
    x = 458,149.19/765.31
  6. Step 6: Final answer
    x = 598.65

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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.