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Finding the Fourth Proportional to 574.81, 864.30 and 529.71

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Solution

The fourth proportional to 574.81, 864.30 and 529.71 is: 796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.81 : 864.30 = 529.71 : x
  2. Step 2: Convert to fraction form
    574.81/864.30 = 529.71/x
  3. Step 3: Cross multiply
    574.81x = 864.30 × 529.71
  4. Step 4: Simplify right side
    574.81x = 457,828.35
  5. Step 5: Solve for x
    x = 457,828.35/574.81
  6. Step 6: Final answer
    x = 796.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.