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Finding the Fourth Proportional to 949.16, 1,309.34 and 772.32

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Solution

The fourth proportional to 949.16, 1,309.34 and 772.32 is: 1,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.16 : 1,309.34 = 772.32 : x
  2. Step 2: Convert to fraction form
    949.16/1,309.34 = 772.32/x
  3. Step 3: Cross multiply
    949.16x = 1,309.34 × 772.32
  4. Step 4: Simplify right side
    949.16x = 1,011,231.40
  5. Step 5: Solve for x
    x = 1,011,231.40/949.16
  6. Step 6: Final answer
    x = 1,065.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.