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Finding the Fourth Proportional to 761.95, 1,049.73 and 637.42

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Solution

The fourth proportional to 761.95, 1,049.73 and 637.42 is: 878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.95 : 1,049.73 = 637.42 : x
  2. Step 2: Convert to fraction form
    761.95/1,049.73 = 637.42/x
  3. Step 3: Cross multiply
    761.95x = 1,049.73 × 637.42
  4. Step 4: Simplify right side
    761.95x = 669,118.90
  5. Step 5: Solve for x
    x = 669,118.90/761.95
  6. Step 6: Final answer
    x = 878.17

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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.