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Finding the Fourth Proportional to 1,154.15, 1,729.85 and 666.19

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Solution

The fourth proportional to 1,154.15, 1,729.85 and 666.19 is: 998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.15 : 1,729.85 = 666.19 : x
  2. Step 2: Convert to fraction form
    1,154.15/1,729.85 = 666.19/x
  3. Step 3: Cross multiply
    1,154.15x = 1,729.85 × 666.19
  4. Step 4: Simplify right side
    1,154.15x = 1,152,408.77
  5. Step 5: Solve for x
    x = 1,152,408.77/1,154.15
  6. Step 6: Final answer
    x = 998.49

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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.