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Finding the Fourth Proportional to 623.68, 937.14 and 506.94

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Solution

The fourth proportional to 623.68, 937.14 and 506.94 is: 761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.68 : 937.14 = 506.94 : x
  2. Step 2: Convert to fraction form
    623.68/937.14 = 506.94/x
  3. Step 3: Cross multiply
    623.68x = 937.14 × 506.94
  4. Step 4: Simplify right side
    623.68x = 475,073.75
  5. Step 5: Solve for x
    x = 475,073.75/623.68
  6. Step 6: Final answer
    x = 761.73

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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.