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Finding the Fourth Proportional to 468.52, 701.65 and 285.51

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Solution

The fourth proportional to 468.52, 701.65 and 285.51 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 701.65 = 285.51 : x
  2. Step 2: Convert to fraction form
    468.52/701.65 = 285.51/x
  3. Step 3: Cross multiply
    468.52x = 701.65 × 285.51
  4. Step 4: Simplify right side
    468.52x = 200,328.09
  5. Step 5: Solve for x
    x = 200,328.09/468.52
  6. Step 6: Final answer
    x = 427.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.