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Finding the Fourth Proportional to 568.42, 784.74 and 347.50

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Solution

The fourth proportional to 568.42, 784.74 and 347.50 is: 479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 784.74 = 347.50 : x
  2. Step 2: Convert to fraction form
    568.42/784.74 = 347.50/x
  3. Step 3: Cross multiply
    568.42x = 784.74 × 347.50
  4. Step 4: Simplify right side
    568.42x = 272,697.15
  5. Step 5: Solve for x
    x = 272,697.15/568.42
  6. Step 6: Final answer
    x = 479.75

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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.