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Finding the Fourth Proportional to 666.29, 1,000.75 and 403.27

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Solution

The fourth proportional to 666.29, 1,000.75 and 403.27 is: 605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.29 : 1,000.75 = 403.27 : x
  2. Step 2: Convert to fraction form
    666.29/1,000.75 = 403.27/x
  3. Step 3: Cross multiply
    666.29x = 1,000.75 × 403.27
  4. Step 4: Simplify right side
    666.29x = 403,570.44
  5. Step 5: Solve for x
    x = 403,570.44/666.29
  6. Step 6: Final answer
    x = 605.70

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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.