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Finding the Fourth Proportional to 1,008.39, 1,512.78 and 431.25

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Solution

The fourth proportional to 1,008.39, 1,512.78 and 431.25 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.39 : 1,512.78 = 431.25 : x
  2. Step 2: Convert to fraction form
    1,008.39/1,512.78 = 431.25/x
  3. Step 3: Cross multiply
    1,008.39x = 1,512.78 × 431.25
  4. Step 4: Simplify right side
    1,008.39x = 652,386.38
  5. Step 5: Solve for x
    x = 652,386.38/1,008.39
  6. Step 6: Final answer
    x = 646.96

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1.5x scale

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.