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Finding the Fourth Proportional to 950.84, 1,424.64 and 768.32

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Solution

The fourth proportional to 950.84, 1,424.64 and 768.32 is: 1,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.84 : 1,424.64 = 768.32 : x
  2. Step 2: Convert to fraction form
    950.84/1,424.64 = 768.32/x
  3. Step 3: Cross multiply
    950.84x = 1,424.64 × 768.32
  4. Step 4: Simplify right side
    950.84x = 1,094,579.40
  5. Step 5: Solve for x
    x = 1,094,579.40/950.84
  6. Step 6: Final answer
    x = 1,151.17

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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.