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Finding the Fourth Proportional to 838.68, 1,257.15 and 606.99

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Solution

The fourth proportional to 838.68, 1,257.15 and 606.99 is: 909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.68 : 1,257.15 = 606.99 : x
  2. Step 2: Convert to fraction form
    838.68/1,257.15 = 606.99/x
  3. Step 3: Cross multiply
    838.68x = 1,257.15 × 606.99
  4. Step 4: Simplify right side
    838.68x = 763,084.47
  5. Step 5: Solve for x
    x = 763,084.47/838.68
  6. Step 6: Final answer
    x = 909.86

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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.