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Finding the Fourth Proportional to 527.88, 788.16 and 476.85

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Solution

The fourth proportional to 527.88, 788.16 and 476.85 is: 711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.88 : 788.16 = 476.85 : x
  2. Step 2: Convert to fraction form
    527.88/788.16 = 476.85/x
  3. Step 3: Cross multiply
    527.88x = 788.16 × 476.85
  4. Step 4: Simplify right side
    527.88x = 375,834.10
  5. Step 5: Solve for x
    x = 375,834.10/527.88
  6. Step 6: Final answer
    x = 711.97

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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.