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Finding the Fourth Proportional to 916.32, 1,372.59 and 682.50

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Solution

The fourth proportional to 916.32, 1,372.59 and 682.50 is: 1,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.32 : 1,372.59 = 682.50 : x
  2. Step 2: Convert to fraction form
    916.32/1,372.59 = 682.50/x
  3. Step 3: Cross multiply
    916.32x = 1,372.59 × 682.50
  4. Step 4: Simplify right side
    916.32x = 936,792.68
  5. Step 5: Solve for x
    x = 936,792.68/916.32
  6. Step 6: Final answer
    x = 1,022.34

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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.