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Finding the Fourth Proportional to 971.59, 1,340.56 and 593.68

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Solution

The fourth proportional to 971.59, 1,340.56 and 593.68 is: 819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.59 : 1,340.56 = 593.68 : x
  2. Step 2: Convert to fraction form
    971.59/1,340.56 = 593.68/x
  3. Step 3: Cross multiply
    971.59x = 1,340.56 × 593.68
  4. Step 4: Simplify right side
    971.59x = 795,863.66
  5. Step 5: Solve for x
    x = 795,863.66/971.59
  6. Step 6: Final answer
    x = 819.14

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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.