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Finding the Fourth Proportional to 971.17, 1,340.24 and 529.09

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Solution

The fourth proportional to 971.17, 1,340.24 and 529.09 is: 730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.17 : 1,340.24 = 529.09 : x
  2. Step 2: Convert to fraction form
    971.17/1,340.24 = 529.09/x
  3. Step 3: Cross multiply
    971.17x = 1,340.24 × 529.09
  4. Step 4: Simplify right side
    971.17x = 709,101.59
  5. Step 5: Solve for x
    x = 709,101.59/971.17
  6. Step 6: Final answer
    x = 730.15

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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.