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Finding the Fourth Proportional to 941.48, 1,299.30 and 527.48

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Solution

The fourth proportional to 941.48, 1,299.30 and 527.48 is: 727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.48 : 1,299.30 = 527.48 : x
  2. Step 2: Convert to fraction form
    941.48/1,299.30 = 527.48/x
  3. Step 3: Cross multiply
    941.48x = 1,299.30 × 527.48
  4. Step 4: Simplify right side
    941.48x = 685,354.76
  5. Step 5: Solve for x
    x = 685,354.76/941.48
  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.