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Finding the Fourth Proportional to 574.85, 865.69 and 520.63

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Solution

The fourth proportional to 574.85, 865.69 and 520.63 is: 784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.85 : 865.69 = 520.63 : x
  2. Step 2: Convert to fraction form
    574.85/865.69 = 520.63/x
  3. Step 3: Cross multiply
    574.85x = 865.69 × 520.63
  4. Step 4: Simplify right side
    574.85x = 450,700.72
  5. Step 5: Solve for x
    x = 450,700.72/574.85
  6. Step 6: Final answer
    x = 784.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.