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Finding the Fourth Proportional to 765.96, 1,057.14 and 434.40

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Solution

The fourth proportional to 765.96, 1,057.14 and 434.40 is: 599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.96 : 1,057.14 = 434.40 : x
  2. Step 2: Convert to fraction form
    765.96/1,057.14 = 434.40/x
  3. Step 3: Cross multiply
    765.96x = 1,057.14 × 434.40
  4. Step 4: Simplify right side
    765.96x = 459,221.62
  5. Step 5: Solve for x
    x = 459,221.62/765.96
  6. Step 6: Final answer
    x = 599.54

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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.