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Finding the Fourth Proportional to 1,177.83, 1,766.07 and 355.86

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Solution

The fourth proportional to 1,177.83, 1,766.07 and 355.86 is: 533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.83 : 1,766.07 = 355.86 : x
  2. Step 2: Convert to fraction form
    1,177.83/1,766.07 = 355.86/x
  3. Step 3: Cross multiply
    1,177.83x = 1,766.07 × 355.86
  4. Step 4: Simplify right side
    1,177.83x = 628,473.67
  5. Step 5: Solve for x
    x = 628,473.67/1,177.83
  6. Step 6: Final answer
    x = 533.59

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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.