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Finding the Fourth Proportional to 906.68, 1,359.84 and 257.25

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Solution

The fourth proportional to 906.68, 1,359.84 and 257.25 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.68 : 1,359.84 = 257.25 : x
  2. Step 2: Convert to fraction form
    906.68/1,359.84 = 257.25/x
  3. Step 3: Cross multiply
    906.68x = 1,359.84 × 257.25
  4. Step 4: Simplify right side
    906.68x = 349,818.84
  5. Step 5: Solve for x
    x = 349,818.84/906.68
  6. Step 6: Final answer
    x = 385.83

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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.