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Finding the Fourth Proportional to 849.66, 1,172.80 and 534.98

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Solution

The fourth proportional to 849.66, 1,172.80 and 534.98 is: 738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,172.80 = 534.98 : x
  2. Step 2: Convert to fraction form
    849.66/1,172.80 = 534.98/x
  3. Step 3: Cross multiply
    849.66x = 1,172.80 × 534.98
  4. Step 4: Simplify right side
    849.66x = 627,424.54
  5. Step 5: Solve for x
    x = 627,424.54/849.66
  6. Step 6: Final answer
    x = 738.44

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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.