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Finding the Fourth Proportional to 574.79, 792.65 and 513.23

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Solution

The fourth proportional to 574.79, 792.65 and 513.23 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.79 : 792.65 = 513.23 : x
  2. Step 2: Convert to fraction form
    574.79/792.65 = 513.23/x
  3. Step 3: Cross multiply
    574.79x = 792.65 × 513.23
  4. Step 4: Simplify right side
    574.79x = 406,809.08
  5. Step 5: Solve for x
    x = 406,809.08/574.79
  6. Step 6: Final answer
    x = 707.76

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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.