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Finding the Fourth Proportional to 971.72, 1,340.97 and 529.62

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Solution

The fourth proportional to 971.72, 1,340.97 and 529.62 is: 730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.72 : 1,340.97 = 529.62 : x
  2. Step 2: Convert to fraction form
    971.72/1,340.97 = 529.62/x
  3. Step 3: Cross multiply
    971.72x = 1,340.97 × 529.62
  4. Step 4: Simplify right side
    971.72x = 710,204.53
  5. Step 5: Solve for x
    x = 710,204.53/971.72
  6. Step 6: Final answer
    x = 730.88

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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.