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Finding the Fourth Proportional to 1,342.88, 1,853.08 and 753.50

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Solution

The fourth proportional to 1,342.88, 1,853.08 and 753.50 is: 1,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.88 : 1,853.08 = 753.50 : x
  2. Step 2: Convert to fraction form
    1,342.88/1,853.08 = 753.50/x
  3. Step 3: Cross multiply
    1,342.88x = 1,853.08 × 753.50
  4. Step 4: Simplify right side
    1,342.88x = 1,396,298.53
  5. Step 5: Solve for x
    x = 1,396,298.53/1,342.88
  6. Step 6: Final answer
    x = 1,039.78

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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.