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Finding the Fourth Proportional to 467.55, 701.28 and 284.91

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Solution

The fourth proportional to 467.55, 701.28 and 284.91 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.55 : 701.28 = 284.91 : x
  2. Step 2: Convert to fraction form
    467.55/701.28 = 284.91/x
  3. Step 3: Cross multiply
    467.55x = 701.28 × 284.91
  4. Step 4: Simplify right side
    467.55x = 199,801.68
  5. Step 5: Solve for x
    x = 199,801.68/467.55
  6. Step 6: Final answer
    x = 427.34

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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.