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Finding the Fourth Proportional to 824.05, 1,234.70 and 580.06

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Solution

The fourth proportional to 824.05, 1,234.70 and 580.06 is: 869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.05 : 1,234.70 = 580.06 : x
  2. Step 2: Convert to fraction form
    824.05/1,234.70 = 580.06/x
  3. Step 3: Cross multiply
    824.05x = 1,234.70 × 580.06
  4. Step 4: Simplify right side
    824.05x = 716,200.08
  5. Step 5: Solve for x
    x = 716,200.08/824.05
  6. Step 6: Final answer
    x = 869.12

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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.