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Finding the Fourth Proportional to 1,374.39, 2,062.30 and 985.17

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Solution

The fourth proportional to 1,374.39, 2,062.30 and 985.17 is: 1,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.39 : 2,062.30 = 985.17 : x
  2. Step 2: Convert to fraction form
    1,374.39/2,062.30 = 985.17/x
  3. Step 3: Cross multiply
    1,374.39x = 2,062.30 × 985.17
  4. Step 4: Simplify right side
    1,374.39x = 2,031,713.63
  5. Step 5: Solve for x
    x = 2,031,713.63/1,374.39
  6. Step 6: Final answer
    x = 1,478.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.