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Finding the Fourth Proportional to 646.12, 966.72 and 372.34

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Solution

The fourth proportional to 646.12, 966.72 and 372.34 is: 557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 966.72 = 372.34 : x
  2. Step 2: Convert to fraction form
    646.12/966.72 = 372.34/x
  3. Step 3: Cross multiply
    646.12x = 966.72 × 372.34
  4. Step 4: Simplify right side
    646.12x = 359,948.52
  5. Step 5: Solve for x
    x = 359,948.52/646.12
  6. Step 6: Final answer
    x = 557.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.