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Finding the Fourth Proportional to 1,110.23, 1,532.76 and 987.20

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Solution

The fourth proportional to 1,110.23, 1,532.76 and 987.20 is: 1,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.23 : 1,532.76 = 987.20 : x
  2. Step 2: Convert to fraction form
    1,110.23/1,532.76 = 987.20/x
  3. Step 3: Cross multiply
    1,110.23x = 1,532.76 × 987.20
  4. Step 4: Simplify right side
    1,110.23x = 1,513,133.01
  5. Step 5: Solve for x
    x = 1,513,133.01/1,110.23
  6. Step 6: Final answer
    x = 1,362.91

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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.