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Finding the Fourth Proportional to 529.16, 791.80 and 460.92

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Solution

The fourth proportional to 529.16, 791.80 and 460.92 is: 689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.16 : 791.80 = 460.92 : x
  2. Step 2: Convert to fraction form
    529.16/791.80 = 460.92/x
  3. Step 3: Cross multiply
    529.16x = 791.80 × 460.92
  4. Step 4: Simplify right side
    529.16x = 364,956.46
  5. Step 5: Solve for x
    x = 364,956.46/529.16
  6. Step 6: Final answer
    x = 689.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.