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Finding the Fourth Proportional to 1,159.62, 1,600.14 and 662.22

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Solution

The fourth proportional to 1,159.62, 1,600.14 and 662.22 is: 913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.62 : 1,600.14 = 662.22 : x
  2. Step 2: Convert to fraction form
    1,159.62/1,600.14 = 662.22/x
  3. Step 3: Cross multiply
    1,159.62x = 1,600.14 × 662.22
  4. Step 4: Simplify right side
    1,159.62x = 1,059,644.71
  5. Step 5: Solve for x
    x = 1,059,644.71/1,159.62
  6. Step 6: Final answer
    x = 913.79

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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.