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Finding the Fourth Proportional to 1,049.97, 1,575.08 and 356.75

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Solution

The fourth proportional to 1,049.97, 1,575.08 and 356.75 is: 535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.97 : 1,575.08 = 356.75 : x
  2. Step 2: Convert to fraction form
    1,049.97/1,575.08 = 356.75/x
  3. Step 3: Cross multiply
    1,049.97x = 1,575.08 × 356.75
  4. Step 4: Simplify right side
    1,049.97x = 561,909.79
  5. Step 5: Solve for x
    x = 561,909.79/1,049.97
  6. Step 6: Final answer
    x = 535.17

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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.