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Finding the Fourth Proportional to 568.32, 854.16 and 279.96

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Solution

The fourth proportional to 568.32, 854.16 and 279.96 is: 420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.32 : 854.16 = 279.96 : x
  2. Step 2: Convert to fraction form
    568.32/854.16 = 279.96/x
  3. Step 3: Cross multiply
    568.32x = 854.16 × 279.96
  4. Step 4: Simplify right side
    568.32x = 239,130.63
  5. Step 5: Solve for x
    x = 239,130.63/568.32
  6. Step 6: Final answer
    x = 420.77

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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.