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Finding the Fourth Proportional to 815.34, 1,124.88 and 520.50

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Solution

The fourth proportional to 815.34, 1,124.88 and 520.50 is: 718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.34 : 1,124.88 = 520.50 : x
  2. Step 2: Convert to fraction form
    815.34/1,124.88 = 520.50/x
  3. Step 3: Cross multiply
    815.34x = 1,124.88 × 520.50
  4. Step 4: Simplify right side
    815.34x = 585,500.04
  5. Step 5: Solve for x
    x = 585,500.04/815.34
  6. Step 6: Final answer
    x = 718.11

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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.