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Finding the Fourth Proportional to 941.75, 1,299.62 and 527.75

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Solution

The fourth proportional to 941.75, 1,299.62 and 527.75 is: 728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.75 : 1,299.62 = 527.75 : x
  2. Step 2: Convert to fraction form
    941.75/1,299.62 = 527.75/x
  3. Step 3: Cross multiply
    941.75x = 1,299.62 × 527.75
  4. Step 4: Simplify right side
    941.75x = 685,874.46
  5. Step 5: Solve for x
    x = 685,874.46/941.75
  6. Step 6: Final answer
    x = 728.30

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1.5x scale

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.