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Finding the Fourth Proportional to 765.16, 1,050.17 and 680.36

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Solution

The fourth proportional to 765.16, 1,050.17 and 680.36 is: 933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.16 : 1,050.17 = 680.36 : x
  2. Step 2: Convert to fraction form
    765.16/1,050.17 = 680.36/x
  3. Step 3: Cross multiply
    765.16x = 1,050.17 × 680.36
  4. Step 4: Simplify right side
    765.16x = 714,493.66
  5. Step 5: Solve for x
    x = 714,493.66/765.16
  6. Step 6: Final answer
    x = 933.78

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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.