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Finding the Fourth Proportional to 524.69, 787.04 and 200.07

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Solution

The fourth proportional to 524.69, 787.04 and 200.07 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.69 : 787.04 = 200.07 : x
  2. Step 2: Convert to fraction form
    524.69/787.04 = 200.07/x
  3. Step 3: Cross multiply
    524.69x = 787.04 × 200.07
  4. Step 4: Simplify right side
    524.69x = 157,463.09
  5. Step 5: Solve for x
    x = 157,463.09/524.69
  6. Step 6: Final answer
    x = 300.11

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Similar ratio
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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.