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Finding the Fourth Proportional to 568.52, 784.44 and 332.40

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Solution

The fourth proportional to 568.52, 784.44 and 332.40 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.52 : 784.44 = 332.40 : x
  2. Step 2: Convert to fraction form
    568.52/784.44 = 332.40/x
  3. Step 3: Cross multiply
    568.52x = 784.44 × 332.40
  4. Step 4: Simplify right side
    568.52x = 260,747.86
  5. Step 5: Solve for x
    x = 260,747.86/568.52
  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.