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Finding the Fourth Proportional to 1,013.48, 1,398.60 and 594.08

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Solution

The fourth proportional to 1,013.48, 1,398.60 and 594.08 is: 819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.48 : 1,398.60 = 594.08 : x
  2. Step 2: Convert to fraction form
    1,013.48/1,398.60 = 594.08/x
  3. Step 3: Cross multiply
    1,013.48x = 1,398.60 × 594.08
  4. Step 4: Simplify right side
    1,013.48x = 830,873.30
  5. Step 5: Solve for x
    x = 830,873.30/1,013.48
  6. Step 6: Final answer
    x = 819.83

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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.