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Finding the Fourth Proportional to 1,031.10, 1,422.90 and 638.02

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Solution

The fourth proportional to 1,031.10, 1,422.90 and 638.02 is: 880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.10 : 1,422.90 = 638.02 : x
  2. Step 2: Convert to fraction form
    1,031.10/1,422.90 = 638.02/x
  3. Step 3: Cross multiply
    1,031.10x = 1,422.90 × 638.02
  4. Step 4: Simplify right side
    1,031.10x = 907,838.66
  5. Step 5: Solve for x
    x = 907,838.66/1,031.10
  6. Step 6: Final answer
    x = 880.46

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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.