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Finding the Fourth Proportional to 556.61, 834.14 and 460.27

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Solution

The fourth proportional to 556.61, 834.14 and 460.27 is: 689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 834.14 = 460.27 : x
  2. Step 2: Convert to fraction form
    556.61/834.14 = 460.27/x
  3. Step 3: Cross multiply
    556.61x = 834.14 × 460.27
  4. Step 4: Simplify right side
    556.61x = 383,930.84
  5. Step 5: Solve for x
    x = 383,930.84/556.61
  6. Step 6: Final answer
    x = 689.76

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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.