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Finding the Fourth Proportional to 695.80, 961.48 and 529.76

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Solution

The fourth proportional to 695.80, 961.48 and 529.76 is: 732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.80 : 961.48 = 529.76 : x
  2. Step 2: Convert to fraction form
    695.80/961.48 = 529.76/x
  3. Step 3: Cross multiply
    695.80x = 961.48 × 529.76
  4. Step 4: Simplify right side
    695.80x = 509,353.64
  5. Step 5: Solve for x
    x = 509,353.64/695.80
  6. Step 6: Final answer
    x = 732.04

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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.