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Finding the Fourth Proportional to 464.89, 700.04 and 344.01

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Solution

The fourth proportional to 464.89, 700.04 and 344.01 is: 518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.89 : 700.04 = 344.01 : x
  2. Step 2: Convert to fraction form
    464.89/700.04 = 344.01/x
  3. Step 3: Cross multiply
    464.89x = 700.04 × 344.01
  4. Step 4: Simplify right side
    464.89x = 240,820.76
  5. Step 5: Solve for x
    x = 240,820.76/464.89
  6. Step 6: Final answer
    x = 518.02

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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.