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Finding the Fourth Proportional to 773.33, 1,066.86 and 576.50

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Solution

The fourth proportional to 773.33, 1,066.86 and 576.50 is: 795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.33 : 1,066.86 = 576.50 : x
  2. Step 2: Convert to fraction form
    773.33/1,066.86 = 576.50/x
  3. Step 3: Cross multiply
    773.33x = 1,066.86 × 576.50
  4. Step 4: Simplify right side
    773.33x = 615,044.79
  5. Step 5: Solve for x
    x = 615,044.79/773.33
  6. Step 6: Final answer
    x = 795.32

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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.