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Finding the Fourth Proportional to 773.01, 1,159.92 and 711.05

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Solution

The fourth proportional to 773.01, 1,159.92 and 711.05 is: 1,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.01 : 1,159.92 = 711.05 : x
  2. Step 2: Convert to fraction form
    773.01/1,159.92 = 711.05/x
  3. Step 3: Cross multiply
    773.01x = 1,159.92 × 711.05
  4. Step 4: Simplify right side
    773.01x = 824,755.32
  5. Step 5: Solve for x
    x = 824,755.32/773.01
  6. Step 6: Final answer
    x = 1,066.94

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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.