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Finding the Fourth Proportional to 1,013, 1,398 and 593.48

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Solution

The fourth proportional to 1,013, 1,398 and 593.48 is: 819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013 : 1,398 = 593.48 : x
  2. Step 2: Convert to fraction form
    1,013/1,398 = 593.48/x
  3. Step 3: Cross multiply
    1,013x = 1,398 × 593.48
  4. Step 4: Simplify right side
    1,013x = 829,685.04
  5. Step 5: Solve for x
    x = 829,685.04/1,013
  6. Step 6: Final answer
    x = 819.04

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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.