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Finding the Fourth Proportional to 1,031.70, 1,422.13 and 782.02

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Solution

The fourth proportional to 1,031.70, 1,422.13 and 782.02 is: 1,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.70 : 1,422.13 = 782.02 : x
  2. Step 2: Convert to fraction form
    1,031.70/1,422.13 = 782.02/x
  3. Step 3: Cross multiply
    1,031.70x = 1,422.13 × 782.02
  4. Step 4: Simplify right side
    1,031.70x = 1,112,134.10
  5. Step 5: Solve for x
    x = 1,112,134.10/1,031.70
  6. Step 6: Final answer
    x = 1,077.96

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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.