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Finding the Fourth Proportional to 925.48, 1,277.11 and 505.75

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Solution

The fourth proportional to 925.48, 1,277.11 and 505.75 is: 697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.48 : 1,277.11 = 505.75 : x
  2. Step 2: Convert to fraction form
    925.48/1,277.11 = 505.75/x
  3. Step 3: Cross multiply
    925.48x = 1,277.11 × 505.75
  4. Step 4: Simplify right side
    925.48x = 645,898.38
  5. Step 5: Solve for x
    x = 645,898.38/925.48
  6. Step 6: Final answer
    x = 697.91

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Double scale
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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.