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Finding the Fourth Proportional to 575.89, 867.22 and 414.70

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Solution

The fourth proportional to 575.89, 867.22 and 414.70 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.89 : 867.22 = 414.70 : x
  2. Step 2: Convert to fraction form
    575.89/867.22 = 414.70/x
  3. Step 3: Cross multiply
    575.89x = 867.22 × 414.70
  4. Step 4: Simplify right side
    575.89x = 359,636.13
  5. Step 5: Solve for x
    x = 359,636.13/575.89
  6. Step 6: Final answer
    x = 624.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.