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Finding the Fourth Proportional to 849.18, 1,274.26 and 556.62

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Solution

The fourth proportional to 849.18, 1,274.26 and 556.62 is: 835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.18 : 1,274.26 = 556.62 : x
  2. Step 2: Convert to fraction form
    849.18/1,274.26 = 556.62/x
  3. Step 3: Cross multiply
    849.18x = 1,274.26 × 556.62
  4. Step 4: Simplify right side
    849.18x = 709,278.60
  5. Step 5: Solve for x
    x = 709,278.60/849.18
  6. Step 6: Final answer
    x = 835.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.