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Finding the Fourth Proportional to 988.77, 1,480.52 and 872.00

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Solution

The fourth proportional to 988.77, 1,480.52 and 872.00 is: 1,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.77 : 1,480.52 = 872.00 : x
  2. Step 2: Convert to fraction form
    988.77/1,480.52 = 872.00/x
  3. Step 3: Cross multiply
    988.77x = 1,480.52 × 872.00
  4. Step 4: Simplify right side
    988.77x = 1,291,001.68
  5. Step 5: Solve for x
    x = 1,291,001.68/988.77
  6. Step 6: Final answer
    x = 1,305.66

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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.