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Finding the Fourth Proportional to 609.71, 838.89 and 526.55

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Solution

The fourth proportional to 609.71, 838.89 and 526.55 is: 724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.71 : 838.89 = 526.55 : x
  2. Step 2: Convert to fraction form
    609.71/838.89 = 526.55/x
  3. Step 3: Cross multiply
    609.71x = 838.89 × 526.55
  4. Step 4: Simplify right side
    609.71x = 441,713.34
  5. Step 5: Solve for x
    x = 441,713.34/609.71
  6. Step 6: Final answer
    x = 724.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.