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Finding the Fourth Proportional to 824.81, 1,138.03 and 505.95

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Solution

The fourth proportional to 824.81, 1,138.03 and 505.95 is: 698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.81 : 1,138.03 = 505.95 : x
  2. Step 2: Convert to fraction form
    824.81/1,138.03 = 505.95/x
  3. Step 3: Cross multiply
    824.81x = 1,138.03 × 505.95
  4. Step 4: Simplify right side
    824.81x = 575,787.86
  5. Step 5: Solve for x
    x = 575,787.86/824.81
  6. Step 6: Final answer
    x = 698.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.