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Finding the Fourth Proportional to 574.17, 864.30 and 392.67

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Solution

The fourth proportional to 574.17, 864.30 and 392.67 is: 591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.17 : 864.30 = 392.67 : x
  2. Step 2: Convert to fraction form
    574.17/864.30 = 392.67/x
  3. Step 3: Cross multiply
    574.17x = 864.30 × 392.67
  4. Step 4: Simplify right side
    574.17x = 339,384.68
  5. Step 5: Solve for x
    x = 339,384.68/574.17
  6. Step 6: Final answer
    x = 591.09

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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.