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Finding the Fourth Proportional to 626.27, 937.91 and 509.51

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Solution

The fourth proportional to 626.27, 937.91 and 509.51 is: 763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.27 : 937.91 = 509.51 : x
  2. Step 2: Convert to fraction form
    626.27/937.91 = 509.51/x
  3. Step 3: Cross multiply
    626.27x = 937.91 × 509.51
  4. Step 4: Simplify right side
    626.27x = 477,878.14
  5. Step 5: Solve for x
    x = 477,878.14/626.27
  6. Step 6: Final answer
    x = 763.06

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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.