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Finding the Fourth Proportional to 568.02, 784.01 and 347.10

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Solution

The fourth proportional to 568.02, 784.01 and 347.10 is: 479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.02 : 784.01 = 347.10 : x
  2. Step 2: Convert to fraction form
    568.02/784.01 = 347.10/x
  3. Step 3: Cross multiply
    568.02x = 784.01 × 347.10
  4. Step 4: Simplify right side
    568.02x = 272,129.87
  5. Step 5: Solve for x
    x = 272,129.87/568.02
  6. Step 6: Final answer
    x = 479.09

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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.