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Finding the Fourth Proportional to 1,292.31, 1,938.47 and 512.49

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Solution

The fourth proportional to 1,292.31, 1,938.47 and 512.49 is: 768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.31 : 1,938.47 = 512.49 : x
  2. Step 2: Convert to fraction form
    1,292.31/1,938.47 = 512.49/x
  3. Step 3: Cross multiply
    1,292.31x = 1,938.47 × 512.49
  4. Step 4: Simplify right side
    1,292.31x = 993,443.93
  5. Step 5: Solve for x
    x = 993,443.93/1,292.31
  6. Step 6: Final answer
    x = 768.74

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Double scale
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Similar ratio
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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.