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Finding the Fourth Proportional to 551.74, 826.89 and 456.70

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Solution

The fourth proportional to 551.74, 826.89 and 456.70 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.74 : 826.89 = 456.70 : x
  2. Step 2: Convert to fraction form
    551.74/826.89 = 456.70/x
  3. Step 3: Cross multiply
    551.74x = 826.89 × 456.70
  4. Step 4: Simplify right side
    551.74x = 377,640.66
  5. Step 5: Solve for x
    x = 377,640.66/551.74
  6. Step 6: Final answer
    x = 684.45

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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.