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Finding the Fourth Proportional to 744.37, 1,027.28 and 412.81

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Solution

The fourth proportional to 744.37, 1,027.28 and 412.81 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.37 : 1,027.28 = 412.81 : x
  2. Step 2: Convert to fraction form
    744.37/1,027.28 = 412.81/x
  3. Step 3: Cross multiply
    744.37x = 1,027.28 × 412.81
  4. Step 4: Simplify right side
    744.37x = 424,071.46
  5. Step 5: Solve for x
    x = 424,071.46/744.37
  6. Step 6: Final answer
    x = 569.71

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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.