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Finding the Fourth Proportional to 568.81, 852.10 and 415.11

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Solution

The fourth proportional to 568.81, 852.10 and 415.11 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.81 : 852.10 = 415.11 : x
  2. Step 2: Convert to fraction form
    568.81/852.10 = 415.11/x
  3. Step 3: Cross multiply
    568.81x = 852.10 × 415.11
  4. Step 4: Simplify right side
    568.81x = 353,714.19
  5. Step 5: Solve for x
    x = 353,714.19/568.81
  6. Step 6: Final answer
    x = 621.85

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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.