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Finding the Fourth Proportional to 568.68, 852.84 and 312

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Solution

The fourth proportional to 568.68, 852.84 and 312 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.68 : 852.84 = 312 : x
  2. Step 2: Convert to fraction form
    568.68/852.84 = 312/x
  3. Step 3: Cross multiply
    568.68x = 852.84 × 312
  4. Step 4: Simplify right side
    568.68x = 266,086.08
  5. Step 5: Solve for x
    x = 266,086.08/568.68
  6. Step 6: Final answer
    x = 467.90

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