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Finding the Fourth Proportional to 1,236.98, 1,702.50 and 987.50

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Solution

The fourth proportional to 1,236.98, 1,702.50 and 987.50 is: 1,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.98 : 1,702.50 = 987.50 : x
  2. Step 2: Convert to fraction form
    1,236.98/1,702.50 = 987.50/x
  3. Step 3: Cross multiply
    1,236.98x = 1,702.50 × 987.50
  4. Step 4: Simplify right side
    1,236.98x = 1,681,218.75
  5. Step 5: Solve for x
    x = 1,681,218.75/1,236.98
  6. Step 6: Final answer
    x = 1,359.13

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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.