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Finding the Fourth Proportional to 723.46, 1,077.51 and 678.51

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Solution

The fourth proportional to 723.46, 1,077.51 and 678.51 is: 1,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.46 : 1,077.51 = 678.51 : x
  2. Step 2: Convert to fraction form
    723.46/1,077.51 = 678.51/x
  3. Step 3: Cross multiply
    723.46x = 1,077.51 × 678.51
  4. Step 4: Simplify right side
    723.46x = 731,101.31
  5. Step 5: Solve for x
    x = 731,101.31/723.46
  6. Step 6: Final answer
    x = 1,010.56

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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.