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Finding the Fourth Proportional to 1,010.78, 1,395.62 and 731.64

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Solution

The fourth proportional to 1,010.78, 1,395.62 and 731.64 is: 1,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.78 : 1,395.62 = 731.64 : x
  2. Step 2: Convert to fraction form
    1,010.78/1,395.62 = 731.64/x
  3. Step 3: Cross multiply
    1,010.78x = 1,395.62 × 731.64
  4. Step 4: Simplify right side
    1,010.78x = 1,021,091.42
  5. Step 5: Solve for x
    x = 1,021,091.42/1,010.78
  6. Step 6: Final answer
    x = 1,010.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.