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Finding the Fourth Proportional to 841.95, 1,257.54 and 657.39

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Solution

The fourth proportional to 841.95, 1,257.54 and 657.39 is: 981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.95 : 1,257.54 = 657.39 : x
  2. Step 2: Convert to fraction form
    841.95/1,257.54 = 657.39/x
  3. Step 3: Cross multiply
    841.95x = 1,257.54 × 657.39
  4. Step 4: Simplify right side
    841.95x = 826,694.22
  5. Step 5: Solve for x
    x = 826,694.22/841.95
  6. Step 6: Final answer
    x = 981.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.