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Finding the Fourth Proportional to 757.88, 1,045.98 and 633.34

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Solution

The fourth proportional to 757.88, 1,045.98 and 633.34 is: 874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.88 : 1,045.98 = 633.34 : x
  2. Step 2: Convert to fraction form
    757.88/1,045.98 = 633.34/x
  3. Step 3: Cross multiply
    757.88x = 1,045.98 × 633.34
  4. Step 4: Simplify right side
    757.88x = 662,460.97
  5. Step 5: Solve for x
    x = 662,460.97/757.88
  6. Step 6: Final answer
    x = 874.10

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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.