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Finding the Fourth Proportional to 568.39, 784.45 and 319.72

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Solution

The fourth proportional to 568.39, 784.45 and 319.72 is: 441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.39 : 784.45 = 319.72 : x
  2. Step 2: Convert to fraction form
    568.39/784.45 = 319.72/x
  3. Step 3: Cross multiply
    568.39x = 784.45 × 319.72
  4. Step 4: Simplify right side
    568.39x = 250,803.55
  5. Step 5: Solve for x
    x = 250,803.55/568.39
  6. Step 6: Final answer
    x = 441.25

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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.