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Finding the Fourth Proportional to 849.25, 1,275.05 and 607.15

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Solution

The fourth proportional to 849.25, 1,275.05 and 607.15 is: 911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.25 : 1,275.05 = 607.15 : x
  2. Step 2: Convert to fraction form
    849.25/1,275.05 = 607.15/x
  3. Step 3: Cross multiply
    849.25x = 1,275.05 × 607.15
  4. Step 4: Simplify right side
    849.25x = 774,146.61
  5. Step 5: Solve for x
    x = 774,146.61/849.25
  6. Step 6: Final answer
    x = 911.57

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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.