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Finding the Fourth Proportional to 787.85, 1,180.47 and 478.76

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Solution

The fourth proportional to 787.85, 1,180.47 and 478.76 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.85 : 1,180.47 = 478.76 : x
  2. Step 2: Convert to fraction form
    787.85/1,180.47 = 478.76/x
  3. Step 3: Cross multiply
    787.85x = 1,180.47 × 478.76
  4. Step 4: Simplify right side
    787.85x = 565,164.77
  5. Step 5: Solve for x
    x = 565,164.77/787.85
  6. Step 6: Final answer
    x = 717.35

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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.