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Finding the Fourth Proportional to 630.79, 944.93 and 493.19

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Solution

The fourth proportional to 630.79, 944.93 and 493.19 is: 738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.79 : 944.93 = 493.19 : x
  2. Step 2: Convert to fraction form
    630.79/944.93 = 493.19/x
  3. Step 3: Cross multiply
    630.79x = 944.93 × 493.19
  4. Step 4: Simplify right side
    630.79x = 466,028.00
  5. Step 5: Solve for x
    x = 466,028.00/630.79
  6. Step 6: Final answer
    x = 738.80

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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.