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Finding the Fourth Proportional to 464.92, 700.12 and 344.02

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Solution

The fourth proportional to 464.92, 700.12 and 344.02 is: 518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.92 : 700.12 = 344.02 : x
  2. Step 2: Convert to fraction form
    464.92/700.12 = 344.02/x
  3. Step 3: Cross multiply
    464.92x = 700.12 × 344.02
  4. Step 4: Simplify right side
    464.92x = 240,855.28
  5. Step 5: Solve for x
    x = 240,855.28/464.92
  6. Step 6: Final answer
    x = 518.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.