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Finding the Fourth Proportional to 944.47, 1,415.08 and 750.07

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Solution

The fourth proportional to 944.47, 1,415.08 and 750.07 is: 1,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.47 : 1,415.08 = 750.07 : x
  2. Step 2: Convert to fraction form
    944.47/1,415.08 = 750.07/x
  3. Step 3: Cross multiply
    944.47x = 1,415.08 × 750.07
  4. Step 4: Simplify right side
    944.47x = 1,061,398.23
  5. Step 5: Solve for x
    x = 1,061,398.23/944.47
  6. Step 6: Final answer
    x = 1,123.81

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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.