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Finding the Fourth Proportional to 1,013.62, 1,398.80 and 547.87

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Solution

The fourth proportional to 1,013.62, 1,398.80 and 547.87 is: 756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.62 : 1,398.80 = 547.87 : x
  2. Step 2: Convert to fraction form
    1,013.62/1,398.80 = 547.87/x
  3. Step 3: Cross multiply
    1,013.62x = 1,398.80 × 547.87
  4. Step 4: Simplify right side
    1,013.62x = 766,365.80
  5. Step 5: Solve for x
    x = 766,365.80/1,013.62
  6. Step 6: Final answer
    x = 756.07

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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.