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Finding the Fourth Proportional to 949.50, 1,422.63 and 776.16

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Solution

The fourth proportional to 949.50, 1,422.63 and 776.16 is: 1,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.50 : 1,422.63 = 776.16 : x
  2. Step 2: Convert to fraction form
    949.50/1,422.63 = 776.16/x
  3. Step 3: Cross multiply
    949.50x = 1,422.63 × 776.16
  4. Step 4: Simplify right side
    949.50x = 1,104,188.50
  5. Step 5: Solve for x
    x = 1,104,188.50/949.50
  6. Step 6: Final answer
    x = 1,162.92

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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.