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Finding the Fourth Proportional to 866.10, 1,298.40 and 448.92

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Solution

The fourth proportional to 866.10, 1,298.40 and 448.92 is: 672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.10 : 1,298.40 = 448.92 : x
  2. Step 2: Convert to fraction form
    866.10/1,298.40 = 448.92/x
  3. Step 3: Cross multiply
    866.10x = 1,298.40 × 448.92
  4. Step 4: Simplify right side
    866.10x = 582,877.73
  5. Step 5: Solve for x
    x = 582,877.73/866.10
  6. Step 6: Final answer
    x = 672.99

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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.