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Finding the Fourth Proportional to 849.63, 1,172.17 and 554.79

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Solution

The fourth proportional to 849.63, 1,172.17 and 554.79 is: 765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.63 : 1,172.17 = 554.79 : x
  2. Step 2: Convert to fraction form
    849.63/1,172.17 = 554.79/x
  3. Step 3: Cross multiply
    849.63x = 1,172.17 × 554.79
  4. Step 4: Simplify right side
    849.63x = 650,308.19
  5. Step 5: Solve for x
    x = 650,308.19/849.63
  6. Step 6: Final answer
    x = 765.40

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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.