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Finding the Fourth Proportional to 766.09, 1,055.50 and 541.95

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Solution

The fourth proportional to 766.09, 1,055.50 and 541.95 is: 746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.09 : 1,055.50 = 541.95 : x
  2. Step 2: Convert to fraction form
    766.09/1,055.50 = 541.95/x
  3. Step 3: Cross multiply
    766.09x = 1,055.50 × 541.95
  4. Step 4: Simplify right side
    766.09x = 572,028.23
  5. Step 5: Solve for x
    x = 572,028.23/766.09
  6. Step 6: Final answer
    x = 746.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.