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Finding the Fourth Proportional to 1,344.67, 1,855.59 and 747.19

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Solution

The fourth proportional to 1,344.67, 1,855.59 and 747.19 is: 1,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.67 : 1,855.59 = 747.19 : x
  2. Step 2: Convert to fraction form
    1,344.67/1,855.59 = 747.19/x
  3. Step 3: Cross multiply
    1,344.67x = 1,855.59 × 747.19
  4. Step 4: Simplify right side
    1,344.67x = 1,386,478.29
  5. Step 5: Solve for x
    x = 1,386,478.29/1,344.67
  6. Step 6: Final answer
    x = 1,031.09

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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.