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Finding the Fourth Proportional to 666.61, 1,000.22 and 255.88

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Solution

The fourth proportional to 666.61, 1,000.22 and 255.88 is: 383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.61 : 1,000.22 = 255.88 : x
  2. Step 2: Convert to fraction form
    666.61/1,000.22 = 255.88/x
  3. Step 3: Cross multiply
    666.61x = 1,000.22 × 255.88
  4. Step 4: Simplify right side
    666.61x = 255,936.29
  5. Step 5: Solve for x
    x = 255,936.29/666.61
  6. Step 6: Final answer
    x = 383.94

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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.