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Finding the Fourth Proportional to 1,252.11, 1,877.69 and 430.23

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Solution

The fourth proportional to 1,252.11, 1,877.69 and 430.23 is: 645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.11 : 1,877.69 = 430.23 : x
  2. Step 2: Convert to fraction form
    1,252.11/1,877.69 = 430.23/x
  3. Step 3: Cross multiply
    1,252.11x = 1,877.69 × 430.23
  4. Step 4: Simplify right side
    1,252.11x = 807,836.42
  5. Step 5: Solve for x
    x = 807,836.42/1,252.11
  6. Step 6: Final answer
    x = 645.18

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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.