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Finding the Fourth Proportional to 1,013.75, 1,398.96 and 594.11

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Solution

The fourth proportional to 1,013.75, 1,398.96 and 594.11 is: 819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.75 : 1,398.96 = 594.11 : x
  2. Step 2: Convert to fraction form
    1,013.75/1,398.96 = 594.11/x
  3. Step 3: Cross multiply
    1,013.75x = 1,398.96 × 594.11
  4. Step 4: Simplify right side
    1,013.75x = 831,129.13
  5. Step 5: Solve for x
    x = 831,129.13/1,013.75
  6. Step 6: Final answer
    x = 819.86

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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.