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Finding the Fourth Proportional to 765.79, 1,056.85 and 434.30

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Solution

The fourth proportional to 765.79, 1,056.85 and 434.30 is: 599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.79 : 1,056.85 = 434.30 : x
  2. Step 2: Convert to fraction form
    765.79/1,056.85 = 434.30/x
  3. Step 3: Cross multiply
    765.79x = 1,056.85 × 434.30
  4. Step 4: Simplify right side
    765.79x = 458,983.59
  5. Step 5: Solve for x
    x = 458,983.59/765.79
  6. Step 6: Final answer
    x = 599.36

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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.