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Finding the Fourth Proportional to 1,254.47, 1,880.64 and 432.83

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Solution

The fourth proportional to 1,254.47, 1,880.64 and 432.83 is: 648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.47 : 1,880.64 = 432.83 : x
  2. Step 2: Convert to fraction form
    1,254.47/1,880.64 = 432.83/x
  3. Step 3: Cross multiply
    1,254.47x = 1,880.64 × 432.83
  4. Step 4: Simplify right side
    1,254.47x = 813,988.01
  5. Step 5: Solve for x
    x = 813,988.01/1,254.47
  6. Step 6: Final answer
    x = 648.87

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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.