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Finding the Fourth Proportional to 568.19, 784.10 and 319.50

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Solution

The fourth proportional to 568.19, 784.10 and 319.50 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.19 : 784.10 = 319.50 : x
  2. Step 2: Convert to fraction form
    568.19/784.10 = 319.50/x
  3. Step 3: Cross multiply
    568.19x = 784.10 × 319.50
  4. Step 4: Simplify right side
    568.19x = 250,521.29
  5. Step 5: Solve for x
    x = 250,521.29/568.19
  6. Step 6: Final answer
    x = 440.91

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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.