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Finding the Fourth Proportional to 849.92, 1,173.15 and 651.47

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Solution

The fourth proportional to 849.92, 1,173.15 and 651.47 is: 899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.92 : 1,173.15 = 651.47 : x
  2. Step 2: Convert to fraction form
    849.92/1,173.15 = 651.47/x
  3. Step 3: Cross multiply
    849.92x = 1,173.15 × 651.47
  4. Step 4: Simplify right side
    849.92x = 764,266.16
  5. Step 5: Solve for x
    x = 764,266.16/849.92
  6. Step 6: Final answer
    x = 899.23

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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.