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Finding the Fourth Proportional to 777.90, 1,165.86 and 366.14

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Solution

The fourth proportional to 777.90, 1,165.86 and 366.14 is: 548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.90 : 1,165.86 = 366.14 : x
  2. Step 2: Convert to fraction form
    777.90/1,165.86 = 366.14/x
  3. Step 3: Cross multiply
    777.90x = 1,165.86 × 366.14
  4. Step 4: Simplify right side
    777.90x = 426,862.15
  5. Step 5: Solve for x
    x = 426,862.15/777.90
  6. Step 6: Final answer
    x = 548.74

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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.