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Finding the Fourth Proportional to 687.16, 1,024.61 and 610.84

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Solution

The fourth proportional to 687.16, 1,024.61 and 610.84 is: 910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.16 : 1,024.61 = 610.84 : x
  2. Step 2: Convert to fraction form
    687.16/1,024.61 = 610.84/x
  3. Step 3: Cross multiply
    687.16x = 1,024.61 × 610.84
  4. Step 4: Simplify right side
    687.16x = 625,872.77
  5. Step 5: Solve for x
    x = 625,872.77/687.16
  6. Step 6: Final answer
    x = 910.81

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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.