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Finding the Fourth Proportional to 499.78, 746.02 and 467.74

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Solution

The fourth proportional to 499.78, 746.02 and 467.74 is: 698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.78 : 746.02 = 467.74 : x
  2. Step 2: Convert to fraction form
    499.78/746.02 = 467.74/x
  3. Step 3: Cross multiply
    499.78x = 746.02 × 467.74
  4. Step 4: Simplify right side
    499.78x = 348,943.39
  5. Step 5: Solve for x
    x = 348,943.39/499.78
  6. Step 6: Final answer
    x = 698.19

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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.