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Finding the Fourth Proportional to 1,002.78, 1,497.69 and 946.89

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Solution

The fourth proportional to 1,002.78, 1,497.69 and 946.89 is: 1,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.78 : 1,497.69 = 946.89 : x
  2. Step 2: Convert to fraction form
    1,002.78/1,497.69 = 946.89/x
  3. Step 3: Cross multiply
    1,002.78x = 1,497.69 × 946.89
  4. Step 4: Simplify right side
    1,002.78x = 1,418,147.68
  5. Step 5: Solve for x
    x = 1,418,147.68/1,002.78
  6. Step 6: Final answer
    x = 1,414.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.