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Finding the Fourth Proportional to 1,122.62, 1,681.61 and 659.00

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Solution

The fourth proportional to 1,122.62, 1,681.61 and 659.00 is: 987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.62 : 1,681.61 = 659.00 : x
  2. Step 2: Convert to fraction form
    1,122.62/1,681.61 = 659.00/x
  3. Step 3: Cross multiply
    1,122.62x = 1,681.61 × 659.00
  4. Step 4: Simplify right side
    1,122.62x = 1,108,169.29
  5. Step 5: Solve for x
    x = 1,108,169.29/1,122.62
  6. Step 6: Final answer
    x = 987.13

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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.