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Finding the Fourth Proportional to 568.15, 850.15 and 469.74

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Solution

The fourth proportional to 568.15, 850.15 and 469.74 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.15 : 850.15 = 469.74 : x
  2. Step 2: Convert to fraction form
    568.15/850.15 = 469.74/x
  3. Step 3: Cross multiply
    568.15x = 850.15 × 469.74
  4. Step 4: Simplify right side
    568.15x = 399,349.46
  5. Step 5: Solve for x
    x = 399,349.46/568.15
  6. Step 6: Final answer
    x = 702.89

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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.