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Finding the Fourth Proportional to 706.60, 974.08 and 509.80

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Solution

The fourth proportional to 706.60, 974.08 and 509.80 is: 702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.60 : 974.08 = 509.80 : x
  2. Step 2: Convert to fraction form
    706.60/974.08 = 509.80/x
  3. Step 3: Cross multiply
    706.60x = 974.08 × 509.80
  4. Step 4: Simplify right side
    706.60x = 496,585.98
  5. Step 5: Solve for x
    x = 496,585.98/706.60
  6. Step 6: Final answer
    x = 702.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.