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Finding the Fourth Proportional to 650.79, 898.19 and 414.84

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Solution

The fourth proportional to 650.79, 898.19 and 414.84 is: 572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.79 : 898.19 = 414.84 : x
  2. Step 2: Convert to fraction form
    650.79/898.19 = 414.84/x
  3. Step 3: Cross multiply
    650.79x = 898.19 × 414.84
  4. Step 4: Simplify right side
    650.79x = 372,608.42
  5. Step 5: Solve for x
    x = 372,608.42/650.79
  6. Step 6: Final answer
    x = 572.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.