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Finding the Fourth Proportional to 687.49, 1,029.87 and 556.83

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Solution

The fourth proportional to 687.49, 1,029.87 and 556.83 is: 834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.49 : 1,029.87 = 556.83 : x
  2. Step 2: Convert to fraction form
    687.49/1,029.87 = 556.83/x
  3. Step 3: Cross multiply
    687.49x = 1,029.87 × 556.83
  4. Step 4: Simplify right side
    687.49x = 573,458.55
  5. Step 5: Solve for x
    x = 573,458.55/687.49
  6. Step 6: Final answer
    x = 834.13

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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.