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Finding the Fourth Proportional to 787.16, 1,180.98 and 498.80

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Solution

The fourth proportional to 787.16, 1,180.98 and 498.80 is: 748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.16 : 1,180.98 = 498.80 : x
  2. Step 2: Convert to fraction form
    787.16/1,180.98 = 498.80/x
  3. Step 3: Cross multiply
    787.16x = 1,180.98 × 498.80
  4. Step 4: Simplify right side
    787.16x = 589,072.82
  5. Step 5: Solve for x
    x = 589,072.82/787.16
  6. Step 6: Final answer
    x = 748.35

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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.