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Finding the Fourth Proportional to 630.89, 944.97 and 508.48

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Solution

The fourth proportional to 630.89, 944.97 and 508.48 is: 761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.89 : 944.97 = 508.48 : x
  2. Step 2: Convert to fraction form
    630.89/944.97 = 508.48/x
  3. Step 3: Cross multiply
    630.89x = 944.97 × 508.48
  4. Step 4: Simplify right side
    630.89x = 480,494.08
  5. Step 5: Solve for x
    x = 480,494.08/630.89
  6. Step 6: Final answer
    x = 761.61

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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.