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Finding the Fourth Proportional to 574.72, 792.38 and 469.70

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Solution

The fourth proportional to 574.72, 792.38 and 469.70 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.72 : 792.38 = 469.70 : x
  2. Step 2: Convert to fraction form
    574.72/792.38 = 469.70/x
  3. Step 3: Cross multiply
    574.72x = 792.38 × 469.70
  4. Step 4: Simplify right side
    574.72x = 372,178.10
  5. Step 5: Solve for x
    x = 372,178.10/574.72
  6. Step 6: Final answer
    x = 647.58

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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.