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Finding the Fourth Proportional to 568.42, 852.30 and 500.08

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Solution

The fourth proportional to 568.42, 852.30 and 500.08 is: 749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 852.30 = 500.08 : x
  2. Step 2: Convert to fraction form
    568.42/852.30 = 500.08/x
  3. Step 3: Cross multiply
    568.42x = 852.30 × 500.08
  4. Step 4: Simplify right side
    568.42x = 426,218.18
  5. Step 5: Solve for x
    x = 426,218.18/568.42
  6. Step 6: Final answer
    x = 749.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.