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Finding the Fourth Proportional to 527.04, 785.96 and 462.34

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Solution

The fourth proportional to 527.04, 785.96 and 462.34 is: 689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.04 : 785.96 = 462.34 : x
  2. Step 2: Convert to fraction form
    527.04/785.96 = 462.34/x
  3. Step 3: Cross multiply
    527.04x = 785.96 × 462.34
  4. Step 4: Simplify right side
    527.04x = 363,380.75
  5. Step 5: Solve for x
    x = 363,380.75/527.04
  6. Step 6: Final answer
    x = 689.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.