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Finding the Fourth Proportional to 686.77, 947.82 and 476.89

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Solution

The fourth proportional to 686.77, 947.82 and 476.89 is: 658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.77 : 947.82 = 476.89 : x
  2. Step 2: Convert to fraction form
    686.77/947.82 = 476.89/x
  3. Step 3: Cross multiply
    686.77x = 947.82 × 476.89
  4. Step 4: Simplify right side
    686.77x = 452,005.88
  5. Step 5: Solve for x
    x = 452,005.88/686.77
  6. Step 6: Final answer
    x = 658.16

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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.