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Finding the Fourth Proportional to 714.57, 1,069.70 and 660.57

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Solution

The fourth proportional to 714.57, 1,069.70 and 660.57 is: 988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.57 : 1,069.70 = 660.57 : x
  2. Step 2: Convert to fraction form
    714.57/1,069.70 = 660.57/x
  3. Step 3: Cross multiply
    714.57x = 1,069.70 × 660.57
  4. Step 4: Simplify right side
    714.57x = 706,608.43
  5. Step 5: Solve for x
    x = 706,608.43/714.57
  6. Step 6: Final answer
    x = 988.86

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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.