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Finding the Fourth Proportional to 723.17, 1,077.29 and 678.35

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Solution

The fourth proportional to 723.17, 1,077.29 and 678.35 is: 1,010.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.17 : 1,077.29 = 678.35 : x
  2. Step 2: Convert to fraction form
    723.17/1,077.29 = 678.35/x
  3. Step 3: Cross multiply
    723.17x = 1,077.29 × 678.35
  4. Step 4: Simplify right side
    723.17x = 730,770.89
  5. Step 5: Solve for x
    x = 730,770.89/723.17
  6. Step 6: Final answer
    x = 1,010.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.