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Finding the Fourth Proportional to 916.11, 1,262.39 and 653.67

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Solution

The fourth proportional to 916.11, 1,262.39 and 653.67 is: 900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.11 : 1,262.39 = 653.67 : x
  2. Step 2: Convert to fraction form
    916.11/1,262.39 = 653.67/x
  3. Step 3: Cross multiply
    916.11x = 1,262.39 × 653.67
  4. Step 4: Simplify right side
    916.11x = 825,183.20
  5. Step 5: Solve for x
    x = 825,183.20/916.11
  6. Step 6: Final answer
    x = 900.75

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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.