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Finding the Fourth Proportional to 1,254.12, 1,880.54 and 420.89

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Solution

The fourth proportional to 1,254.12, 1,880.54 and 420.89 is: 631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.12 : 1,880.54 = 420.89 : x
  2. Step 2: Convert to fraction form
    1,254.12/1,880.54 = 420.89/x
  3. Step 3: Cross multiply
    1,254.12x = 1,880.54 × 420.89
  4. Step 4: Simplify right side
    1,254.12x = 791,488.97
  5. Step 5: Solve for x
    x = 791,488.97/1,254.12
  6. Step 6: Final answer
    x = 631.11

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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.