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Finding the Fourth Proportional to 568.81, 784.99 and 347.75

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Solution

The fourth proportional to 568.81, 784.99 and 347.75 is: 479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.81 : 784.99 = 347.75 : x
  2. Step 2: Convert to fraction form
    568.81/784.99 = 347.75/x
  3. Step 3: Cross multiply
    568.81x = 784.99 × 347.75
  4. Step 4: Simplify right side
    568.81x = 272,980.27
  5. Step 5: Solve for x
    x = 272,980.27/568.81
  6. Step 6: Final answer
    x = 479.91

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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.