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Finding the Fourth Proportional to 1,031.09, 1,422.99 and 588.98

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Solution

The fourth proportional to 1,031.09, 1,422.99 and 588.98 is: 812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.09 : 1,422.99 = 588.98 : x
  2. Step 2: Convert to fraction form
    1,031.09/1,422.99 = 588.98/x
  3. Step 3: Cross multiply
    1,031.09x = 1,422.99 × 588.98
  4. Step 4: Simplify right side
    1,031.09x = 838,116.21
  5. Step 5: Solve for x
    x = 838,116.21/1,031.09
  6. Step 6: Final answer
    x = 812.85

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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.