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Finding the Fourth Proportional to 925.22, 1,276.80 and 505.57

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Solution

The fourth proportional to 925.22, 1,276.80 and 505.57 is: 697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.22 : 1,276.80 = 505.57 : x
  2. Step 2: Convert to fraction form
    925.22/1,276.80 = 505.57/x
  3. Step 3: Cross multiply
    925.22x = 1,276.80 × 505.57
  4. Step 4: Simplify right side
    925.22x = 645,509.25
  5. Step 5: Solve for x
    x = 645,509.25/925.22
  6. Step 6: Final answer
    x = 697.68

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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.