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Finding the Fourth Proportional to 969.18, 1,456.08 and 916.74

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Solution

The fourth proportional to 969.18, 1,456.08 and 916.74 is: 1,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.18 : 1,456.08 = 916.74 : x
  2. Step 2: Convert to fraction form
    969.18/1,456.08 = 916.74/x
  3. Step 3: Cross multiply
    969.18x = 1,456.08 × 916.74
  4. Step 4: Simplify right side
    969.18x = 1,334,846.78
  5. Step 5: Solve for x
    x = 1,334,846.78/969.18
  6. Step 6: Final answer
    x = 1,377.30

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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.