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Finding the Fourth Proportional to 944.12, 1,302.91 and 571.05

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Solution

The fourth proportional to 944.12, 1,302.91 and 571.05 is: 788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.12 : 1,302.91 = 571.05 : x
  2. Step 2: Convert to fraction form
    944.12/1,302.91 = 571.05/x
  3. Step 3: Cross multiply
    944.12x = 1,302.91 × 571.05
  4. Step 4: Simplify right side
    944.12x = 744,025.33
  5. Step 5: Solve for x
    x = 744,025.33/944.12
  6. Step 6: Final answer
    x = 788.06

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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.