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Finding the Fourth Proportional to 849.68, 1,174.08 and 663.64

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Solution

The fourth proportional to 849.68, 1,174.08 and 663.64 is: 917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.68 : 1,174.08 = 663.64 : x
  2. Step 2: Convert to fraction form
    849.68/1,174.08 = 663.64/x
  3. Step 3: Cross multiply
    849.68x = 1,174.08 × 663.64
  4. Step 4: Simplify right side
    849.68x = 779,166.45
  5. Step 5: Solve for x
    x = 779,166.45/849.68
  6. Step 6: Final answer
    x = 917.01

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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.