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Finding the Fourth Proportional to 568.98, 784.62 and 347.76

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Solution

The fourth proportional to 568.98, 784.62 and 347.76 is: 479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.98 : 784.62 = 347.76 : x
  2. Step 2: Convert to fraction form
    568.98/784.62 = 347.76/x
  3. Step 3: Cross multiply
    568.98x = 784.62 × 347.76
  4. Step 4: Simplify right side
    568.98x = 272,859.45
  5. Step 5: Solve for x
    x = 272,859.45/568.98
  6. Step 6: Final answer
    x = 479.56

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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.