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Finding the Fourth Proportional to 941.57, 1,410.31 and 575.25

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Solution

The fourth proportional to 941.57, 1,410.31 and 575.25 is: 861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.57 : 1,410.31 = 575.25 : x
  2. Step 2: Convert to fraction form
    941.57/1,410.31 = 575.25/x
  3. Step 3: Cross multiply
    941.57x = 1,410.31 × 575.25
  4. Step 4: Simplify right side
    941.57x = 811,284.19
  5. Step 5: Solve for x
    x = 811,284.19/941.57
  6. Step 6: Final answer
    x = 861.63

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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.