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Finding the Fourth Proportional to 1,734.72, 2,393.28 and 988.64

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Solution

The fourth proportional to 1,734.72, 2,393.28 and 988.64 is: 1,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.72 : 2,393.28 = 988.64 : x
  2. Step 2: Convert to fraction form
    1,734.72/2,393.28 = 988.64/x
  3. Step 3: Cross multiply
    1,734.72x = 2,393.28 × 988.64
  4. Step 4: Simplify right side
    1,734.72x = 2,366,092.34
  5. Step 5: Solve for x
    x = 2,366,092.34/1,734.72
  6. Step 6: Final answer
    x = 1,363.96

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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.