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Finding the Fourth Proportional to 1,001.27, 1,381.70 and 581.33

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Solution

The fourth proportional to 1,001.27, 1,381.70 and 581.33 is: 802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.27 : 1,381.70 = 581.33 : x
  2. Step 2: Convert to fraction form
    1,001.27/1,381.70 = 581.33/x
  3. Step 3: Cross multiply
    1,001.27x = 1,381.70 × 581.33
  4. Step 4: Simplify right side
    1,001.27x = 803,213.85
  5. Step 5: Solve for x
    x = 803,213.85/1,001.27
  6. Step 6: Final answer
    x = 802.20

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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.