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Finding the Fourth Proportional to 1,251.86, 1,877.60 and 430.04

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Solution

The fourth proportional to 1,251.86, 1,877.60 and 430.04 is: 645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.86 : 1,877.60 = 430.04 : x
  2. Step 2: Convert to fraction form
    1,251.86/1,877.60 = 430.04/x
  3. Step 3: Cross multiply
    1,251.86x = 1,877.60 × 430.04
  4. Step 4: Simplify right side
    1,251.86x = 807,448.87
  5. Step 5: Solve for x
    x = 807,448.87/1,251.86
  6. Step 6: Final answer
    x = 645.00

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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.