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Finding the Fourth Proportional to 949.30, 1,421.79 and 787.30

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Solution

The fourth proportional to 949.30, 1,421.79 and 787.30 is: 1,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.30 : 1,421.79 = 787.30 : x
  2. Step 2: Convert to fraction form
    949.30/1,421.79 = 787.30/x
  3. Step 3: Cross multiply
    949.30x = 1,421.79 × 787.30
  4. Step 4: Simplify right side
    949.30x = 1,119,375.27
  5. Step 5: Solve for x
    x = 1,119,375.27/949.30
  6. Step 6: Final answer
    x = 1,179.16

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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.