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Finding the Fourth Proportional to 520.96, 785.44 and 485.71

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Solution

The fourth proportional to 520.96, 785.44 and 485.71 is: 732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.96 : 785.44 = 485.71 : x
  2. Step 2: Convert to fraction form
    520.96/785.44 = 485.71/x
  3. Step 3: Cross multiply
    520.96x = 785.44 × 485.71
  4. Step 4: Simplify right side
    520.96x = 381,496.06
  5. Step 5: Solve for x
    x = 381,496.06/520.96
  6. Step 6: Final answer
    x = 732.29

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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.