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Finding the Fourth Proportional to 1,008.19, 1,512.71 and 423.30

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Solution

The fourth proportional to 1,008.19, 1,512.71 and 423.30 is: 635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.19 : 1,512.71 = 423.30 : x
  2. Step 2: Convert to fraction form
    1,008.19/1,512.71 = 423.30/x
  3. Step 3: Cross multiply
    1,008.19x = 1,512.71 × 423.30
  4. Step 4: Simplify right side
    1,008.19x = 640,328.03
  5. Step 5: Solve for x
    x = 640,328.03/1,008.19
  6. Step 6: Final answer
    x = 635.13

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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.