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Finding the Fourth Proportional to 1,254.75, 1,731.56 and 702.75

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Solution

The fourth proportional to 1,254.75, 1,731.56 and 702.75 is: 969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.75 : 1,731.56 = 702.75 : x
  2. Step 2: Convert to fraction form
    1,254.75/1,731.56 = 702.75/x
  3. Step 3: Cross multiply
    1,254.75x = 1,731.56 × 702.75
  4. Step 4: Simplify right side
    1,254.75x = 1,216,850.28
  5. Step 5: Solve for x
    x = 1,216,850.28/1,254.75
  6. Step 6: Final answer
    x = 969.80

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1.5x scale

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.