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Finding the Fourth Proportional to 465.39, 700.80 and 344.51

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Solution

The fourth proportional to 465.39, 700.80 and 344.51 is: 518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.39 : 700.80 = 344.51 : x
  2. Step 2: Convert to fraction form
    465.39/700.80 = 344.51/x
  3. Step 3: Cross multiply
    465.39x = 700.80 × 344.51
  4. Step 4: Simplify right side
    465.39x = 241,429.10
  5. Step 5: Solve for x
    x = 241,429.10/465.39
  6. Step 6: Final answer
    x = 518.77

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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.