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Finding the Fourth Proportional to 832.15, 1,248.58 and 446.95

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Solution

The fourth proportional to 832.15, 1,248.58 and 446.95 is: 670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.15 : 1,248.58 = 446.95 : x
  2. Step 2: Convert to fraction form
    832.15/1,248.58 = 446.95/x
  3. Step 3: Cross multiply
    832.15x = 1,248.58 × 446.95
  4. Step 4: Simplify right side
    832.15x = 558,046.59
  5. Step 5: Solve for x
    x = 558,046.59/832.15
  6. Step 6: Final answer
    x = 670.61

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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.