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Finding the Fourth Proportional to 749.53, 1,026.86 and 721.47

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Solution

The fourth proportional to 749.53, 1,026.86 and 721.47 is: 988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.53 : 1,026.86 = 721.47 : x
  2. Step 2: Convert to fraction form
    749.53/1,026.86 = 721.47/x
  3. Step 3: Cross multiply
    749.53x = 1,026.86 × 721.47
  4. Step 4: Simplify right side
    749.53x = 740,848.68
  5. Step 5: Solve for x
    x = 740,848.68/749.53
  6. Step 6: Final answer
    x = 988.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.