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Finding the Fourth Proportional to 824.54, 1,234.95 and 578.84

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Solution

The fourth proportional to 824.54, 1,234.95 and 578.84 is: 866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.54 : 1,234.95 = 578.84 : x
  2. Step 2: Convert to fraction form
    824.54/1,234.95 = 578.84/x
  3. Step 3: Cross multiply
    824.54x = 1,234.95 × 578.84
  4. Step 4: Simplify right side
    824.54x = 714,838.46
  5. Step 5: Solve for x
    x = 714,838.46/824.54
  6. Step 6: Final answer
    x = 866.95

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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.