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Finding the Fourth Proportional to 686.64, 946.88 and 476.40

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Solution

The fourth proportional to 686.64, 946.88 and 476.40 is: 656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.64 : 946.88 = 476.40 : x
  2. Step 2: Convert to fraction form
    686.64/946.88 = 476.40/x
  3. Step 3: Cross multiply
    686.64x = 946.88 × 476.40
  4. Step 4: Simplify right side
    686.64x = 451,093.63
  5. Step 5: Solve for x
    x = 451,093.63/686.64
  6. Step 6: Final answer
    x = 656.96

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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.