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Finding the Fourth Proportional to 568.15, 784.20 and 332.29

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Solution

The fourth proportional to 568.15, 784.20 and 332.29 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.15 : 784.20 = 332.29 : x
  2. Step 2: Convert to fraction form
    568.15/784.20 = 332.29/x
  3. Step 3: Cross multiply
    568.15x = 784.20 × 332.29
  4. Step 4: Simplify right side
    568.15x = 260,581.82
  5. Step 5: Solve for x
    x = 260,581.82/568.15
  6. Step 6: Final answer
    x = 458.65

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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.