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Finding the Fourth Proportional to 1,254.02, 1,880.42 and 432.08

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Solution

The fourth proportional to 1,254.02, 1,880.42 and 432.08 is: 647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.02 : 1,880.42 = 432.08 : x
  2. Step 2: Convert to fraction form
    1,254.02/1,880.42 = 432.08/x
  3. Step 3: Cross multiply
    1,254.02x = 1,880.42 × 432.08
  4. Step 4: Simplify right side
    1,254.02x = 812,491.87
  5. Step 5: Solve for x
    x = 812,491.87/1,254.02
  6. Step 6: Final answer
    x = 647.91

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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.