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Finding the Fourth Proportional to 499.78, 744.48 and 472.42

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Solution

The fourth proportional to 499.78, 744.48 and 472.42 is: 703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.78 : 744.48 = 472.42 : x
  2. Step 2: Convert to fraction form
    499.78/744.48 = 472.42/x
  3. Step 3: Cross multiply
    499.78x = 744.48 × 472.42
  4. Step 4: Simplify right side
    499.78x = 351,707.24
  5. Step 5: Solve for x
    x = 351,707.24/499.78
  6. Step 6: Final answer
    x = 703.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.