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Finding the Fourth Proportional to 967.35, 1,335.48 and 873.78

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Solution

The fourth proportional to 967.35, 1,335.48 and 873.78 is: 1,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.35 : 1,335.48 = 873.78 : x
  2. Step 2: Convert to fraction form
    967.35/1,335.48 = 873.78/x
  3. Step 3: Cross multiply
    967.35x = 1,335.48 × 873.78
  4. Step 4: Simplify right side
    967.35x = 1,166,915.71
  5. Step 5: Solve for x
    x = 1,166,915.71/967.35
  6. Step 6: Final answer
    x = 1,206.30

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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.