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Finding the Fourth Proportional to 538.48, 807.08 and 318.80

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Solution

The fourth proportional to 538.48, 807.08 and 318.80 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 807.08 = 318.80 : x
  2. Step 2: Convert to fraction form
    538.48/807.08 = 318.80/x
  3. Step 3: Cross multiply
    538.48x = 807.08 × 318.80
  4. Step 4: Simplify right side
    538.48x = 257,297.10
  5. Step 5: Solve for x
    x = 257,297.10/538.48
  6. Step 6: Final answer
    x = 477.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.