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Finding the Fourth Proportional to 568.71, 784.78 and 320.04

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Solution

The fourth proportional to 568.71, 784.78 and 320.04 is: 441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.71 : 784.78 = 320.04 : x
  2. Step 2: Convert to fraction form
    568.71/784.78 = 320.04/x
  3. Step 3: Cross multiply
    568.71x = 784.78 × 320.04
  4. Step 4: Simplify right side
    568.71x = 251,160.99
  5. Step 5: Solve for x
    x = 251,160.99/568.71
  6. Step 6: Final answer
    x = 441.63

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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.