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Finding the Fourth Proportional to 949.04, 1,422.39 and 776.05

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Solution

The fourth proportional to 949.04, 1,422.39 and 776.05 is: 1,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.04 : 1,422.39 = 776.05 : x
  2. Step 2: Convert to fraction form
    949.04/1,422.39 = 776.05/x
  3. Step 3: Cross multiply
    949.04x = 1,422.39 × 776.05
  4. Step 4: Simplify right side
    949.04x = 1,103,853.11
  5. Step 5: Solve for x
    x = 1,103,853.11/949.04
  6. Step 6: Final answer
    x = 1,163.13

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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.