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Finding the Fourth Proportional to 1,734.91, 2,394.24 and 988.90

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Solution

The fourth proportional to 1,734.91, 2,394.24 and 988.90 is: 1,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.91 : 2,394.24 = 988.90 : x
  2. Step 2: Convert to fraction form
    1,734.91/2,394.24 = 988.90/x
  3. Step 3: Cross multiply
    1,734.91x = 2,394.24 × 988.90
  4. Step 4: Simplify right side
    1,734.91x = 2,367,663.94
  5. Step 5: Solve for x
    x = 2,367,663.94/1,734.91
  6. Step 6: Final answer
    x = 1,364.72

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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.