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Finding the Fourth Proportional to 563.60, 838.18 and 520.40

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Solution

The fourth proportional to 563.60, 838.18 and 520.40 is: 773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.60 : 838.18 = 520.40 : x
  2. Step 2: Convert to fraction form
    563.60/838.18 = 520.40/x
  3. Step 3: Cross multiply
    563.60x = 838.18 × 520.40
  4. Step 4: Simplify right side
    563.60x = 436,188.87
  5. Step 5: Solve for x
    x = 436,188.87/563.60
  6. Step 6: Final answer
    x = 773.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.