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Finding the Fourth Proportional to 1,166.67, 1,750.28 and 436.86

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Solution

The fourth proportional to 1,166.67, 1,750.28 and 436.86 is: 655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.67 : 1,750.28 = 436.86 : x
  2. Step 2: Convert to fraction form
    1,166.67/1,750.28 = 436.86/x
  3. Step 3: Cross multiply
    1,166.67x = 1,750.28 × 436.86
  4. Step 4: Simplify right side
    1,166.67x = 764,625.14
  5. Step 5: Solve for x
    x = 764,625.14/1,166.67
  6. Step 6: Final answer
    x = 655.39

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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.