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Finding the Fourth Proportional to 666.25, 999.86 and 537.78

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Solution

The fourth proportional to 666.25, 999.86 and 537.78 is: 807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.25 : 999.86 = 537.78 : x
  2. Step 2: Convert to fraction form
    666.25/999.86 = 537.78/x
  3. Step 3: Cross multiply
    666.25x = 999.86 × 537.78
  4. Step 4: Simplify right side
    666.25x = 537,709.80
  5. Step 5: Solve for x
    x = 537,709.80/666.25
  6. Step 6: Final answer
    x = 807.07

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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.