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Finding the Fourth Proportional to 824.10, 1,234.29 and 412.35

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Solution

The fourth proportional to 824.10, 1,234.29 and 412.35 is: 617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.10 : 1,234.29 = 412.35 : x
  2. Step 2: Convert to fraction form
    824.10/1,234.29 = 412.35/x
  3. Step 3: Cross multiply
    824.10x = 1,234.29 × 412.35
  4. Step 4: Simplify right side
    824.10x = 508,959.48
  5. Step 5: Solve for x
    x = 508,959.48/824.10
  6. Step 6: Final answer
    x = 617.59

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Double scale
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1.5x scale

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.