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Finding the Fourth Proportional to 849.50, 1,172.80 and 642.14

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Solution

The fourth proportional to 849.50, 1,172.80 and 642.14 is: 886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.50 : 1,172.80 = 642.14 : x
  2. Step 2: Convert to fraction form
    849.50/1,172.80 = 642.14/x
  3. Step 3: Cross multiply
    849.50x = 1,172.80 × 642.14
  4. Step 4: Simplify right side
    849.50x = 753,101.79
  5. Step 5: Solve for x
    x = 753,101.79/849.50
  6. Step 6: Final answer
    x = 886.52

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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.