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Finding the Fourth Proportional to 787.02, 1,180.37 and 300.00

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Solution

The fourth proportional to 787.02, 1,180.37 and 300.00 is: 449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.02 : 1,180.37 = 300.00 : x
  2. Step 2: Convert to fraction form
    787.02/1,180.37 = 300.00/x
  3. Step 3: Cross multiply
    787.02x = 1,180.37 × 300.00
  4. Step 4: Simplify right side
    787.02x = 354,116.18
  5. Step 5: Solve for x
    x = 354,116.18/787.02
  6. Step 6: Final answer
    x = 449.95

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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.