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Finding the Fourth Proportional to 1,254, 1,880.97 and 432.86

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Solution

The fourth proportional to 1,254, 1,880.97 and 432.86 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254 : 1,880.97 = 432.86 : x
  2. Step 2: Convert to fraction form
    1,254/1,880.97 = 432.86/x
  3. Step 3: Cross multiply
    1,254x = 1,880.97 × 432.86
  4. Step 4: Simplify right side
    1,254x = 814,187.27
  5. Step 5: Solve for x
    x = 814,187.27/1,254
  6. Step 6: Final answer
    x = 649.27

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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.