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Finding the Fourth Proportional to 1,254.50, 1,731.22 and 702.50

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Solution

The fourth proportional to 1,254.50, 1,731.22 and 702.50 is: 969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.50 : 1,731.22 = 702.50 : x
  2. Step 2: Convert to fraction form
    1,254.50/1,731.22 = 702.50/x
  3. Step 3: Cross multiply
    1,254.50x = 1,731.22 × 702.50
  4. Step 4: Simplify right side
    1,254.50x = 1,216,182.05
  5. Step 5: Solve for x
    x = 1,216,182.05/1,254.50
  6. Step 6: Final answer
    x = 969.46

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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.