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Finding the Fourth Proportional to 1,248.82, 1,721.75 and 1,023.91

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Solution

The fourth proportional to 1,248.82, 1,721.75 and 1,023.91 is: 1,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.82 : 1,721.75 = 1,023.91 : x
  2. Step 2: Convert to fraction form
    1,248.82/1,721.75 = 1,023.91/x
  3. Step 3: Cross multiply
    1,248.82x = 1,721.75 × 1,023.91
  4. Step 4: Simplify right side
    1,248.82x = 1,762,907.62
  5. Step 5: Solve for x
    x = 1,762,907.62/1,248.82
  6. Step 6: Final answer
    x = 1,411.66

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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.