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Finding the Fourth Proportional to 941.50, 1,299.27 and 527.50

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Solution

The fourth proportional to 941.50, 1,299.27 and 527.50 is: 727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.50 : 1,299.27 = 527.50 : x
  2. Step 2: Convert to fraction form
    941.50/1,299.27 = 527.50/x
  3. Step 3: Cross multiply
    941.50x = 1,299.27 × 527.50
  4. Step 4: Simplify right side
    941.50x = 685,364.93
  5. Step 5: Solve for x
    x = 685,364.93/941.50
  6. Step 6: Final answer
    x = 727.95

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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.