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Finding the Fourth Proportional to 824.91, 1,230.09 and 817.50

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Solution

The fourth proportional to 824.91, 1,230.09 and 817.50 is: 1,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.91 : 1,230.09 = 817.50 : x
  2. Step 2: Convert to fraction form
    824.91/1,230.09 = 817.50/x
  3. Step 3: Cross multiply
    824.91x = 1,230.09 × 817.50
  4. Step 4: Simplify right side
    824.91x = 1,005,597.56
  5. Step 5: Solve for x
    x = 1,005,597.56/824.91
  6. Step 6: Final answer
    x = 1,219.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.