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Finding the Fourth Proportional to 647.89, 972.35 and 237.29

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Solution

The fourth proportional to 647.89, 972.35 and 237.29 is: 356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.89 : 972.35 = 237.29 : x
  2. Step 2: Convert to fraction form
    647.89/972.35 = 237.29/x
  3. Step 3: Cross multiply
    647.89x = 972.35 × 237.29
  4. Step 4: Simplify right side
    647.89x = 230,727.75
  5. Step 5: Solve for x
    x = 230,727.75/647.89
  6. Step 6: Final answer
    x = 356.12

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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.