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Finding the Fourth Proportional to 686.10, 946.58 and 476.20

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Solution

The fourth proportional to 686.10, 946.58 and 476.20 is: 656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.10 : 946.58 = 476.20 : x
  2. Step 2: Convert to fraction form
    686.10/946.58 = 476.20/x
  3. Step 3: Cross multiply
    686.10x = 946.58 × 476.20
  4. Step 4: Simplify right side
    686.10x = 450,761.40
  5. Step 5: Solve for x
    x = 450,761.40/686.10
  6. Step 6: Final answer
    x = 656.99

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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.