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Finding the Fourth Proportional to 1,257.42, 1,734.65 and 962.18

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Solution

The fourth proportional to 1,257.42, 1,734.65 and 962.18 is: 1,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.42 : 1,734.65 = 962.18 : x
  2. Step 2: Convert to fraction form
    1,257.42/1,734.65 = 962.18/x
  3. Step 3: Cross multiply
    1,257.42x = 1,734.65 × 962.18
  4. Step 4: Simplify right side
    1,257.42x = 1,669,042.17
  5. Step 5: Solve for x
    x = 1,669,042.17/1,257.42
  6. Step 6: Final answer
    x = 1,327.35

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1.5x scale

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.