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Finding the Fourth Proportional to 714.67, 1,069.08 and 615.73

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Solution

The fourth proportional to 714.67, 1,069.08 and 615.73 is: 921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.67 : 1,069.08 = 615.73 : x
  2. Step 2: Convert to fraction form
    714.67/1,069.08 = 615.73/x
  3. Step 3: Cross multiply
    714.67x = 1,069.08 × 615.73
  4. Step 4: Simplify right side
    714.67x = 658,264.63
  5. Step 5: Solve for x
    x = 658,264.63/714.67
  6. Step 6: Final answer
    x = 921.07

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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.