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Finding the Fourth Proportional to 667.50, 1,001.27 and 256.54

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Solution

The fourth proportional to 667.50, 1,001.27 and 256.54 is: 384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.50 : 1,001.27 = 256.54 : x
  2. Step 2: Convert to fraction form
    667.50/1,001.27 = 256.54/x
  3. Step 3: Cross multiply
    667.50x = 1,001.27 × 256.54
  4. Step 4: Simplify right side
    667.50x = 256,864.52
  5. Step 5: Solve for x
    x = 256,864.52/667.50
  6. Step 6: Final answer
    x = 384.82

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Double scale
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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.