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Finding the Fourth Proportional to 1,001.45, 1,502.21 and 807.59

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Solution

The fourth proportional to 1,001.45, 1,502.21 and 807.59 is: 1,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.45 : 1,502.21 = 807.59 : x
  2. Step 2: Convert to fraction form
    1,001.45/1,502.21 = 807.59/x
  3. Step 3: Cross multiply
    1,001.45x = 1,502.21 × 807.59
  4. Step 4: Simplify right side
    1,001.45x = 1,213,175.55
  5. Step 5: Solve for x
    x = 1,213,175.55/1,001.45
  6. Step 6: Final answer
    x = 1,211.42

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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.