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Finding the Fourth Proportional to 1,126.31, 1,689.77 and 606.09

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Solution

The fourth proportional to 1,126.31, 1,689.77 and 606.09 is: 909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.31 : 1,689.77 = 606.09 : x
  2. Step 2: Convert to fraction form
    1,126.31/1,689.77 = 606.09/x
  3. Step 3: Cross multiply
    1,126.31x = 1,689.77 × 606.09
  4. Step 4: Simplify right side
    1,126.31x = 1,024,149.67
  5. Step 5: Solve for x
    x = 1,024,149.67/1,126.31
  6. Step 6: Final answer
    x = 909.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.