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Finding the Fourth Proportional to 568.43, 784.69 and 347.47

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Solution

The fourth proportional to 568.43, 784.69 and 347.47 is: 479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.43 : 784.69 = 347.47 : x
  2. Step 2: Convert to fraction form
    568.43/784.69 = 347.47/x
  3. Step 3: Cross multiply
    568.43x = 784.69 × 347.47
  4. Step 4: Simplify right side
    568.43x = 272,656.23
  5. Step 5: Solve for x
    x = 272,656.23/568.43
  6. Step 6: Final answer
    x = 479.67

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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.