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Finding the Fourth Proportional to 650.16, 898.32 and 520.20

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Solution

The fourth proportional to 650.16, 898.32 and 520.20 is: 718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 898.32 = 520.20 : x
  2. Step 2: Convert to fraction form
    650.16/898.32 = 520.20/x
  3. Step 3: Cross multiply
    650.16x = 898.32 × 520.20
  4. Step 4: Simplify right side
    650.16x = 467,306.06
  5. Step 5: Solve for x
    x = 467,306.06/650.16
  6. Step 6: Final answer
    x = 718.76

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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.