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Finding the Fourth Proportional to 849.06, 1,272.03 and 540.96

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Solution

The fourth proportional to 849.06, 1,272.03 and 540.96 is: 810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.06 : 1,272.03 = 540.96 : x
  2. Step 2: Convert to fraction form
    849.06/1,272.03 = 540.96/x
  3. Step 3: Cross multiply
    849.06x = 1,272.03 × 540.96
  4. Step 4: Simplify right side
    849.06x = 688,117.35
  5. Step 5: Solve for x
    x = 688,117.35/849.06
  6. Step 6: Final answer
    x = 810.45

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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.