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Finding the Fourth Proportional to 528.14, 788.31 and 467.33

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Solution

The fourth proportional to 528.14, 788.31 and 467.33 is: 697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.14 : 788.31 = 467.33 : x
  2. Step 2: Convert to fraction form
    528.14/788.31 = 467.33/x
  3. Step 3: Cross multiply
    528.14x = 788.31 × 467.33
  4. Step 4: Simplify right side
    528.14x = 368,396.97
  5. Step 5: Solve for x
    x = 368,396.97/528.14
  6. Step 6: Final answer
    x = 697.53

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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.