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Finding the Fourth Proportional to 537.89, 807.09 and 407.84

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Solution

The fourth proportional to 537.89, 807.09 and 407.84 is: 611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.89 : 807.09 = 407.84 : x
  2. Step 2: Convert to fraction form
    537.89/807.09 = 407.84/x
  3. Step 3: Cross multiply
    537.89x = 807.09 × 407.84
  4. Step 4: Simplify right side
    537.89x = 329,159.55
  5. Step 5: Solve for x
    x = 329,159.55/537.89
  6. Step 6: Final answer
    x = 611.95

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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.