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Finding the Fourth Proportional to 568.18, 850.21 and 469.77

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Solution

The fourth proportional to 568.18, 850.21 and 469.77 is: 702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.18 : 850.21 = 469.77 : x
  2. Step 2: Convert to fraction form
    568.18/850.21 = 469.77/x
  3. Step 3: Cross multiply
    568.18x = 850.21 × 469.77
  4. Step 4: Simplify right side
    568.18x = 399,401.43
  5. Step 5: Solve for x
    x = 399,401.43/568.18
  6. Step 6: Final answer
    x = 702.95

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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.