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Finding the Fourth Proportional to 568.68, 784.60 and 347.39

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Solution

The fourth proportional to 568.68, 784.60 and 347.39 is: 479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.68 : 784.60 = 347.39 : x
  2. Step 2: Convert to fraction form
    568.68/784.60 = 347.39/x
  3. Step 3: Cross multiply
    568.68x = 784.60 × 347.39
  4. Step 4: Simplify right side
    568.68x = 272,566.71
  5. Step 5: Solve for x
    x = 272,566.71/568.68
  6. Step 6: Final answer
    x = 479.30

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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.