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Finding the Fourth Proportional to 1,248.52, 1,722.70 and 782.50

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Solution

The fourth proportional to 1,248.52, 1,722.70 and 782.50 is: 1,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.52 : 1,722.70 = 782.50 : x
  2. Step 2: Convert to fraction form
    1,248.52/1,722.70 = 782.50/x
  3. Step 3: Cross multiply
    1,248.52x = 1,722.70 × 782.50
  4. Step 4: Simplify right side
    1,248.52x = 1,348,012.75
  5. Step 5: Solve for x
    x = 1,348,012.75/1,248.52
  6. Step 6: Final answer
    x = 1,079.69

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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.