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Finding the Fourth Proportional to 1,001.13, 1,381.57 and 581.73

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Solution

The fourth proportional to 1,001.13, 1,381.57 and 581.73 is: 802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.13 : 1,381.57 = 581.73 : x
  2. Step 2: Convert to fraction form
    1,001.13/1,381.57 = 581.73/x
  3. Step 3: Cross multiply
    1,001.13x = 1,381.57 × 581.73
  4. Step 4: Simplify right side
    1,001.13x = 803,700.72
  5. Step 5: Solve for x
    x = 803,700.72/1,001.13
  6. Step 6: Final answer
    x = 802.79

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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.