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Finding the Fourth Proportional to 565.78, 846.59 and 334.78

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Solution

The fourth proportional to 565.78, 846.59 and 334.78 is: 500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 846.59 = 334.78 : x
  2. Step 2: Convert to fraction form
    565.78/846.59 = 334.78/x
  3. Step 3: Cross multiply
    565.78x = 846.59 × 334.78
  4. Step 4: Simplify right side
    565.78x = 283,419.73
  5. Step 5: Solve for x
    x = 283,419.73/565.78
  6. Step 6: Final answer
    x = 500.94

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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.