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Finding the Fourth Proportional to 761.88, 1,050.66 and 679.80

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Solution

The fourth proportional to 761.88, 1,050.66 and 679.80 is: 937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.88 : 1,050.66 = 679.80 : x
  2. Step 2: Convert to fraction form
    761.88/1,050.66 = 679.80/x
  3. Step 3: Cross multiply
    761.88x = 1,050.66 × 679.80
  4. Step 4: Simplify right side
    761.88x = 714,238.67
  5. Step 5: Solve for x
    x = 714,238.67/761.88
  6. Step 6: Final answer
    x = 937.47

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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.