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Finding the Fourth Proportional to 749.19, 1,033.36 and 687.22

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Solution

The fourth proportional to 749.19, 1,033.36 and 687.22 is: 947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.19 : 1,033.36 = 687.22 : x
  2. Step 2: Convert to fraction form
    749.19/1,033.36 = 687.22/x
  3. Step 3: Cross multiply
    749.19x = 1,033.36 × 687.22
  4. Step 4: Simplify right side
    749.19x = 710,145.66
  5. Step 5: Solve for x
    x = 710,145.66/749.19
  6. Step 6: Final answer
    x = 947.88

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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.