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Finding the Fourth Proportional to 1,001.49, 1,502.80 and 539.26

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Solution

The fourth proportional to 1,001.49, 1,502.80 and 539.26 is: 809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.49 : 1,502.80 = 539.26 : x
  2. Step 2: Convert to fraction form
    1,001.49/1,502.80 = 539.26/x
  3. Step 3: Cross multiply
    1,001.49x = 1,502.80 × 539.26
  4. Step 4: Simplify right side
    1,001.49x = 810,395.58
  5. Step 5: Solve for x
    x = 810,395.58/1,001.49
  6. Step 6: Final answer
    x = 809.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.