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Finding the Fourth Proportional to 968.31, 1,444.83 and 909.51

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Solution

The fourth proportional to 968.31, 1,444.83 and 909.51 is: 1,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.31 : 1,444.83 = 909.51 : x
  2. Step 2: Convert to fraction form
    968.31/1,444.83 = 909.51/x
  3. Step 3: Cross multiply
    968.31x = 1,444.83 × 909.51
  4. Step 4: Simplify right side
    968.31x = 1,314,087.33
  5. Step 5: Solve for x
    x = 1,314,087.33/968.31
  6. Step 6: Final answer
    x = 1,357.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.