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Finding the Fourth Proportional to 1,161.23, 1,601.62 and 807.14

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Solution

The fourth proportional to 1,161.23, 1,601.62 and 807.14 is: 1,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.23 : 1,601.62 = 807.14 : x
  2. Step 2: Convert to fraction form
    1,161.23/1,601.62 = 807.14/x
  3. Step 3: Cross multiply
    1,161.23x = 1,601.62 × 807.14
  4. Step 4: Simplify right side
    1,161.23x = 1,292,733.55
  5. Step 5: Solve for x
    x = 1,292,733.55/1,161.23
  6. Step 6: Final answer
    x = 1,113.25

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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.