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Finding the Fourth Proportional to 765.18, 1,055.97 and 529.07

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Solution

The fourth proportional to 765.18, 1,055.97 and 529.07 is: 730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.18 : 1,055.97 = 529.07 : x
  2. Step 2: Convert to fraction form
    765.18/1,055.97 = 529.07/x
  3. Step 3: Cross multiply
    765.18x = 1,055.97 × 529.07
  4. Step 4: Simplify right side
    765.18x = 558,676.77
  5. Step 5: Solve for x
    x = 558,676.77/765.18
  6. Step 6: Final answer
    x = 730.12

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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.