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Finding the Fourth Proportional to 1,013.74, 1,397.32 and 733.59

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Solution

The fourth proportional to 1,013.74, 1,397.32 and 733.59 is: 1,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.74 : 1,397.32 = 733.59 : x
  2. Step 2: Convert to fraction form
    1,013.74/1,397.32 = 733.59/x
  3. Step 3: Cross multiply
    1,013.74x = 1,397.32 × 733.59
  4. Step 4: Simplify right side
    1,013.74x = 1,025,058.14
  5. Step 5: Solve for x
    x = 1,025,058.14/1,013.74
  6. Step 6: Final answer
    x = 1,011.17

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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.