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Finding the Fourth Proportional to 524.66, 787.48 and 195.91

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Solution

The fourth proportional to 524.66, 787.48 and 195.91 is: 294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.66 : 787.48 = 195.91 : x
  2. Step 2: Convert to fraction form
    524.66/787.48 = 195.91/x
  3. Step 3: Cross multiply
    524.66x = 787.48 × 195.91
  4. Step 4: Simplify right side
    524.66x = 154,272.75
  5. Step 5: Solve for x
    x = 154,272.75/524.66
  6. Step 6: Final answer
    x = 294.05

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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.