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Finding the Fourth Proportional to 750.63, 1,036.44 and 471.27

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Solution

The fourth proportional to 750.63, 1,036.44 and 471.27 is: 650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.63 : 1,036.44 = 471.27 : x
  2. Step 2: Convert to fraction form
    750.63/1,036.44 = 471.27/x
  3. Step 3: Cross multiply
    750.63x = 1,036.44 × 471.27
  4. Step 4: Simplify right side
    750.63x = 488,443.08
  5. Step 5: Solve for x
    x = 488,443.08/750.63
  6. Step 6: Final answer
    x = 650.71

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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.