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Finding the Fourth Proportional to 647.62, 972.21 and 615.33

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Solution

The fourth proportional to 647.62, 972.21 and 615.33 is: 923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.62 : 972.21 = 615.33 : x
  2. Step 2: Convert to fraction form
    647.62/972.21 = 615.33/x
  3. Step 3: Cross multiply
    647.62x = 972.21 × 615.33
  4. Step 4: Simplify right side
    647.62x = 598,229.98
  5. Step 5: Solve for x
    x = 598,229.98/647.62
  6. Step 6: Final answer
    x = 923.74

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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.