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Finding the Fourth Proportional to 703.56, 970.96 and 517.90

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Solution

The fourth proportional to 703.56, 970.96 and 517.90 is: 714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.56 : 970.96 = 517.90 : x
  2. Step 2: Convert to fraction form
    703.56/970.96 = 517.90/x
  3. Step 3: Cross multiply
    703.56x = 970.96 × 517.90
  4. Step 4: Simplify right side
    703.56x = 502,854.03
  5. Step 5: Solve for x
    x = 502,854.03/703.56
  6. Step 6: Final answer
    x = 714.73

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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.