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Finding the Fourth Proportional to 667.24, 1,000.52 and 228.42

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Solution

The fourth proportional to 667.24, 1,000.52 and 228.42 is: 342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.24 : 1,000.52 = 228.42 : x
  2. Step 2: Convert to fraction form
    667.24/1,000.52 = 228.42/x
  3. Step 3: Cross multiply
    667.24x = 1,000.52 × 228.42
  4. Step 4: Simplify right side
    667.24x = 228,537.64
  5. Step 5: Solve for x
    x = 228,537.64/667.24
  6. Step 6: Final answer
    x = 342.51

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1.5x scale

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.