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Finding the Fourth Proportional to 574.85, 793.85 and 491.47

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Solution

The fourth proportional to 574.85, 793.85 and 491.47 is: 678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.85 : 793.85 = 491.47 : x
  2. Step 2: Convert to fraction form
    574.85/793.85 = 491.47/x
  3. Step 3: Cross multiply
    574.85x = 793.85 × 491.47
  4. Step 4: Simplify right side
    574.85x = 390,150.86
  5. Step 5: Solve for x
    x = 390,150.86/574.85
  6. Step 6: Final answer
    x = 678.71

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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.