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Finding the Fourth Proportional to 520.89, 785.25 and 485.66

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Solution

The fourth proportional to 520.89, 785.25 and 485.66 is: 732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.89 : 785.25 = 485.66 : x
  2. Step 2: Convert to fraction form
    520.89/785.25 = 485.66/x
  3. Step 3: Cross multiply
    520.89x = 785.25 × 485.66
  4. Step 4: Simplify right side
    520.89x = 381,360.59
  5. Step 5: Solve for x
    x = 381,360.59/520.89
  6. Step 6: Final answer
    x = 732.13

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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.