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Finding the Fourth Proportional to 568.54, 784.38 and 332.40

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Solution

The fourth proportional to 568.54, 784.38 and 332.40 is: 458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.54 : 784.38 = 332.40 : x
  2. Step 2: Convert to fraction form
    568.54/784.38 = 332.40/x
  3. Step 3: Cross multiply
    568.54x = 784.38 × 332.40
  4. Step 4: Simplify right side
    568.54x = 260,726.67
  5. Step 5: Solve for x
    x = 260,726.67/568.54
  6. Step 6: Final answer
    x = 458.59

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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.