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Finding the Fourth Proportional to 538.39, 801.78 and 520.16

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Solution

The fourth proportional to 538.39, 801.78 and 520.16 is: 774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.39 : 801.78 = 520.16 : x
  2. Step 2: Convert to fraction form
    538.39/801.78 = 520.16/x
  3. Step 3: Cross multiply
    538.39x = 801.78 × 520.16
  4. Step 4: Simplify right side
    538.39x = 417,053.88
  5. Step 5: Solve for x
    x = 417,053.88/538.39
  6. Step 6: Final answer
    x = 774.63

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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.