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Finding the Fourth Proportional to 909.24, 1,364.76 and 534.12

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Solution

The fourth proportional to 909.24, 1,364.76 and 534.12 is: 801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.24 : 1,364.76 = 534.12 : x
  2. Step 2: Convert to fraction form
    909.24/1,364.76 = 534.12/x
  3. Step 3: Cross multiply
    909.24x = 1,364.76 × 534.12
  4. Step 4: Simplify right side
    909.24x = 728,945.61
  5. Step 5: Solve for x
    x = 728,945.61/909.24
  6. Step 6: Final answer
    x = 801.71

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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.