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Finding the Fourth Proportional to 568.32, 784.16 and 347.20

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Solution

The fourth proportional to 568.32, 784.16 and 347.20 is: 479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.32 : 784.16 = 347.20 : x
  2. Step 2: Convert to fraction form
    568.32/784.16 = 347.20/x
  3. Step 3: Cross multiply
    568.32x = 784.16 × 347.20
  4. Step 4: Simplify right side
    568.32x = 272,260.35
  5. Step 5: Solve for x
    x = 272,260.35/568.32
  6. Step 6: Final answer
    x = 479.06

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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.