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Finding the Fourth Proportional to 787.72, 1,180.95 and 544.72

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Solution

The fourth proportional to 787.72, 1,180.95 and 544.72 is: 816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.72 : 1,180.95 = 544.72 : x
  2. Step 2: Convert to fraction form
    787.72/1,180.95 = 544.72/x
  3. Step 3: Cross multiply
    787.72x = 1,180.95 × 544.72
  4. Step 4: Simplify right side
    787.72x = 643,287.08
  5. Step 5: Solve for x
    x = 643,287.08/787.72
  6. Step 6: Final answer
    x = 816.64

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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.