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Finding the Fourth Proportional to 687.46, 1,029.34 and 578.11

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Solution

The fourth proportional to 687.46, 1,029.34 and 578.11 is: 865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.46 : 1,029.34 = 578.11 : x
  2. Step 2: Convert to fraction form
    687.46/1,029.34 = 578.11/x
  3. Step 3: Cross multiply
    687.46x = 1,029.34 × 578.11
  4. Step 4: Simplify right side
    687.46x = 595,065.16
  5. Step 5: Solve for x
    x = 595,065.16/687.46
  6. Step 6: Final answer
    x = 865.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.