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Finding the Fourth Proportional to 551.24, 824.40 and 412.76

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Solution

The fourth proportional to 551.24, 824.40 and 412.76 is: 617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.24 : 824.40 = 412.76 : x
  2. Step 2: Convert to fraction form
    551.24/824.40 = 412.76/x
  3. Step 3: Cross multiply
    551.24x = 824.40 × 412.76
  4. Step 4: Simplify right side
    551.24x = 340,279.34
  5. Step 5: Solve for x
    x = 340,279.34/551.24
  6. Step 6: Final answer
    x = 617.30

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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.