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Finding the Fourth Proportional to 765.78, 1,055.76 and 529.31

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Solution

The fourth proportional to 765.78, 1,055.76 and 529.31 is: 729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.78 : 1,055.76 = 529.31 : x
  2. Step 2: Convert to fraction form
    765.78/1,055.76 = 529.31/x
  3. Step 3: Cross multiply
    765.78x = 1,055.76 × 529.31
  4. Step 4: Simplify right side
    765.78x = 558,819.05
  5. Step 5: Solve for x
    x = 558,819.05/765.78
  6. Step 6: Final answer
    x = 729.74

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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.