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Finding the Fourth Proportional to 1,031.02, 1,422.79 and 558.91

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Solution

The fourth proportional to 1,031.02, 1,422.79 and 558.91 is: 771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.02 : 1,422.79 = 558.91 : x
  2. Step 2: Convert to fraction form
    1,031.02/1,422.79 = 558.91/x
  3. Step 3: Cross multiply
    1,031.02x = 1,422.79 × 558.91
  4. Step 4: Simplify right side
    1,031.02x = 795,211.56
  5. Step 5: Solve for x
    x = 795,211.56/1,031.02
  6. Step 6: Final answer
    x = 771.29

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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.