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Finding the Fourth Proportional to 1,177.53, 1,765 and 446.77

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Solution

The fourth proportional to 1,177.53, 1,765 and 446.77 is: 669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.53 : 1,765 = 446.77 : x
  2. Step 2: Convert to fraction form
    1,177.53/1,765 = 446.77/x
  3. Step 3: Cross multiply
    1,177.53x = 1,765 × 446.77
  4. Step 4: Simplify right side
    1,177.53x = 788,549.05
  5. Step 5: Solve for x
    x = 788,549.05/1,177.53
  6. Step 6: Final answer
    x = 669.66

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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.