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Finding the Fourth Proportional to 551.82, 826.66 and 320.14

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Solution

The fourth proportional to 551.82, 826.66 and 320.14 is: 479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.82 : 826.66 = 320.14 : x
  2. Step 2: Convert to fraction form
    551.82/826.66 = 320.14/x
  3. Step 3: Cross multiply
    551.82x = 826.66 × 320.14
  4. Step 4: Simplify right side
    551.82x = 264,646.93
  5. Step 5: Solve for x
    x = 264,646.93/551.82
  6. Step 6: Final answer
    x = 479.59

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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.