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Finding the Fourth Proportional to 537.58, 807.09 and 318.61

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Solution

The fourth proportional to 537.58, 807.09 and 318.61 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.58 : 807.09 = 318.61 : x
  2. Step 2: Convert to fraction form
    537.58/807.09 = 318.61/x
  3. Step 3: Cross multiply
    537.58x = 807.09 × 318.61
  4. Step 4: Simplify right side
    537.58x = 257,146.94
  5. Step 5: Solve for x
    x = 257,146.94/537.58
  6. Step 6: Final answer
    x = 478.34

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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.