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Finding the Fourth Proportional to 1,248.90, 1,873.64 and 427.18

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Solution

The fourth proportional to 1,248.90, 1,873.64 and 427.18 is: 640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.90 : 1,873.64 = 427.18 : x
  2. Step 2: Convert to fraction form
    1,248.90/1,873.64 = 427.18/x
  3. Step 3: Cross multiply
    1,248.90x = 1,873.64 × 427.18
  4. Step 4: Simplify right side
    1,248.90x = 800,381.54
  5. Step 5: Solve for x
    x = 800,381.54/1,248.90
  6. Step 6: Final answer
    x = 640.87

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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.