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Finding the Fourth Proportional to 849.51, 1,171.48 and 565.47

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Solution

The fourth proportional to 849.51, 1,171.48 and 565.47 is: 779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.51 : 1,171.48 = 565.47 : x
  2. Step 2: Convert to fraction form
    849.51/1,171.48 = 565.47/x
  3. Step 3: Cross multiply
    849.51x = 1,171.48 × 565.47
  4. Step 4: Simplify right side
    849.51x = 662,428.11
  5. Step 5: Solve for x
    x = 662,428.11/849.51
  6. Step 6: Final answer
    x = 779.78

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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.