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Finding the Fourth Proportional to 1,061.38, 1,463.83 and 667.72

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Solution

The fourth proportional to 1,061.38, 1,463.83 and 667.72 is: 920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.38 : 1,463.83 = 667.72 : x
  2. Step 2: Convert to fraction form
    1,061.38/1,463.83 = 667.72/x
  3. Step 3: Cross multiply
    1,061.38x = 1,463.83 × 667.72
  4. Step 4: Simplify right side
    1,061.38x = 977,428.57
  5. Step 5: Solve for x
    x = 977,428.57/1,061.38
  6. Step 6: Final answer
    x = 920.90

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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.