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Finding the Fourth Proportional to 763.98, 1,050.24 and 657.25

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Solution

The fourth proportional to 763.98, 1,050.24 and 657.25 is: 903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.98 : 1,050.24 = 657.25 : x
  2. Step 2: Convert to fraction form
    763.98/1,050.24 = 657.25/x
  3. Step 3: Cross multiply
    763.98x = 1,050.24 × 657.25
  4. Step 4: Simplify right side
    763.98x = 690,273.83
  5. Step 5: Solve for x
    x = 690,273.83/763.98
  6. Step 6: Final answer
    x = 903.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.