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Finding the Fourth Proportional to 912.79, 1,368.15 and 449.58

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Solution

The fourth proportional to 912.79, 1,368.15 and 449.58 is: 673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.79 : 1,368.15 = 449.58 : x
  2. Step 2: Convert to fraction form
    912.79/1,368.15 = 449.58/x
  3. Step 3: Cross multiply
    912.79x = 1,368.15 × 449.58
  4. Step 4: Simplify right side
    912.79x = 615,098.85
  5. Step 5: Solve for x
    x = 615,098.85/912.79
  6. Step 6: Final answer
    x = 673.87

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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.