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Finding the Fourth Proportional to 520.39, 784.49 and 485.16

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Solution

The fourth proportional to 520.39, 784.49 and 485.16 is: 731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.39 : 784.49 = 485.16 : x
  2. Step 2: Convert to fraction form
    520.39/784.49 = 485.16/x
  3. Step 3: Cross multiply
    520.39x = 784.49 × 485.16
  4. Step 4: Simplify right side
    520.39x = 380,603.17
  5. Step 5: Solve for x
    x = 380,603.17/520.39
  6. Step 6: Final answer
    x = 731.38

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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.