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Finding the Fourth Proportional to 568.81, 784.97 and 347.77

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Solution

The fourth proportional to 568.81, 784.97 and 347.77 is: 479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.81 : 784.97 = 347.77 : x
  2. Step 2: Convert to fraction form
    568.81/784.97 = 347.77/x
  3. Step 3: Cross multiply
    568.81x = 784.97 × 347.77
  4. Step 4: Simplify right side
    568.81x = 272,989.02
  5. Step 5: Solve for x
    x = 272,989.02/568.81
  6. Step 6: Final answer
    x = 479.93

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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.