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Finding the Fourth Proportional to 468.39, 705.33 and 347.52

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Solution

The fourth proportional to 468.39, 705.33 and 347.52 is: 523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.39 : 705.33 = 347.52 : x
  2. Step 2: Convert to fraction form
    468.39/705.33 = 347.52/x
  3. Step 3: Cross multiply
    468.39x = 705.33 × 347.52
  4. Step 4: Simplify right side
    468.39x = 245,116.28
  5. Step 5: Solve for x
    x = 245,116.28/468.39
  6. Step 6: Final answer
    x = 523.32

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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.