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Finding the Fourth Proportional to 761.75, 1,050.44 and 621.42

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Solution

The fourth proportional to 761.75, 1,050.44 and 621.42 is: 856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.75 : 1,050.44 = 621.42 : x
  2. Step 2: Convert to fraction form
    761.75/1,050.44 = 621.42/x
  3. Step 3: Cross multiply
    761.75x = 1,050.44 × 621.42
  4. Step 4: Simplify right side
    761.75x = 652,761.88
  5. Step 5: Solve for x
    x = 652,761.88/761.75
  6. Step 6: Final answer
    x = 856.93

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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.