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Finding the Fourth Proportional to 1,001.24, 1,502.14 and 538.82

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Solution

The fourth proportional to 1,001.24, 1,502.14 and 538.82 is: 808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.24 : 1,502.14 = 538.82 : x
  2. Step 2: Convert to fraction form
    1,001.24/1,502.14 = 538.82/x
  3. Step 3: Cross multiply
    1,001.24x = 1,502.14 × 538.82
  4. Step 4: Simplify right side
    1,001.24x = 809,383.07
  5. Step 5: Solve for x
    x = 809,383.07/1,001.24
  6. Step 6: Final answer
    x = 808.38

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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.