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Finding the Fourth Proportional to 1,761.50, 2,642.25 and 607.25

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Solution

The fourth proportional to 1,761.50, 2,642.25 and 607.25 is: 910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.50 : 2,642.25 = 607.25 : x
  2. Step 2: Convert to fraction form
    1,761.50/2,642.25 = 607.25/x
  3. Step 3: Cross multiply
    1,761.50x = 2,642.25 × 607.25
  4. Step 4: Simplify right side
    1,761.50x = 1,604,506.31
  5. Step 5: Solve for x
    x = 1,604,506.31/1,761.50
  6. Step 6: Final answer
    x = 910.88

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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.