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Finding the Fourth Proportional to 666.83, 999.03 and 491.57

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Solution

The fourth proportional to 666.83, 999.03 and 491.57 is: 736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.83 : 999.03 = 491.57 : x
  2. Step 2: Convert to fraction form
    666.83/999.03 = 491.57/x
  3. Step 3: Cross multiply
    666.83x = 999.03 × 491.57
  4. Step 4: Simplify right side
    666.83x = 491,085.72
  5. Step 5: Solve for x
    x = 491,085.72/666.83
  6. Step 6: Final answer
    x = 736.45

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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.