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Finding the Fourth Proportional to 1,188.83, 1,784.15 and 777.86

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Solution

The fourth proportional to 1,188.83, 1,784.15 and 777.86 is: 1,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.83 : 1,784.15 = 777.86 : x
  2. Step 2: Convert to fraction form
    1,188.83/1,784.15 = 777.86/x
  3. Step 3: Cross multiply
    1,188.83x = 1,784.15 × 777.86
  4. Step 4: Simplify right side
    1,188.83x = 1,387,806.11
  5. Step 5: Solve for x
    x = 1,387,806.11/1,188.83
  6. Step 6: Final answer
    x = 1,167.38

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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.