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Finding the Fourth Proportional to 568.30, 784.23 and 347.23

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Solution

The fourth proportional to 568.30, 784.23 and 347.23 is: 479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.30 : 784.23 = 347.23 : x
  2. Step 2: Convert to fraction form
    568.30/784.23 = 347.23/x
  3. Step 3: Cross multiply
    568.30x = 784.23 × 347.23
  4. Step 4: Simplify right side
    568.30x = 272,308.18
  5. Step 5: Solve for x
    x = 272,308.18/568.30
  6. Step 6: Final answer
    x = 479.16

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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.