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Finding the Fourth Proportional to 1,010.64, 1,393.76 and 637.20

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Solution

The fourth proportional to 1,010.64, 1,393.76 and 637.20 is: 878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.64 : 1,393.76 = 637.20 : x
  2. Step 2: Convert to fraction form
    1,010.64/1,393.76 = 637.20/x
  3. Step 3: Cross multiply
    1,010.64x = 1,393.76 × 637.20
  4. Step 4: Simplify right side
    1,010.64x = 888,103.87
  5. Step 5: Solve for x
    x = 888,103.87/1,010.64
  6. Step 6: Final answer
    x = 878.75

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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.