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Finding the Fourth Proportional to 686.73, 948.02 and 466.04

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Solution

The fourth proportional to 686.73, 948.02 and 466.04 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.73 : 948.02 = 466.04 : x
  2. Step 2: Convert to fraction form
    686.73/948.02 = 466.04/x
  3. Step 3: Cross multiply
    686.73x = 948.02 × 466.04
  4. Step 4: Simplify right side
    686.73x = 441,808.17
  5. Step 5: Solve for x
    x = 441,808.17/686.73
  6. Step 6: Final answer
    x = 643.35

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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.