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Finding the Fourth Proportional to 800.12, 1,205.62 and 666.16

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Solution

The fourth proportional to 800.12, 1,205.62 and 666.16 is: 1,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.12 : 1,205.62 = 666.16 : x
  2. Step 2: Convert to fraction form
    800.12/1,205.62 = 666.16/x
  3. Step 3: Cross multiply
    800.12x = 1,205.62 × 666.16
  4. Step 4: Simplify right side
    800.12x = 803,132.49
  5. Step 5: Solve for x
    x = 803,132.49/800.12
  6. Step 6: Final answer
    x = 1,003.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.