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Finding the Fourth Proportional to 815.24, 1,124.78 and 500

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Solution

The fourth proportional to 815.24, 1,124.78 and 500 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.24 : 1,124.78 = 500 : x
  2. Step 2: Convert to fraction form
    815.24/1,124.78 = 500/x
  3. Step 3: Cross multiply
    815.24x = 1,124.78 × 500
  4. Step 4: Simplify right side
    815.24x = 562,387.50
  5. Step 5: Solve for x
    x = 562,387.50/815.24
  6. Step 6: Final answer
    x = 689.84

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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.