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Finding the Fourth Proportional to 816.18, 1,124.89 and 520.93

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Solution

The fourth proportional to 816.18, 1,124.89 and 520.93 is: 717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.18 : 1,124.89 = 520.93 : x
  2. Step 2: Convert to fraction form
    816.18/1,124.89 = 520.93/x
  3. Step 3: Cross multiply
    816.18x = 1,124.89 × 520.93
  4. Step 4: Simplify right side
    816.18x = 585,989.05
  5. Step 5: Solve for x
    x = 585,989.05/816.18
  6. Step 6: Final answer
    x = 717.97

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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.