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Finding the Fourth Proportional to 524.90, 787.74 and 200.90

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Solution

The fourth proportional to 524.90, 787.74 and 200.90 is: 301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.90 : 787.74 = 200.90 : x
  2. Step 2: Convert to fraction form
    524.90/787.74 = 200.90/x
  3. Step 3: Cross multiply
    524.90x = 787.74 × 200.90
  4. Step 4: Simplify right side
    524.90x = 158,256.97
  5. Step 5: Solve for x
    x = 158,256.97/524.90
  6. Step 6: Final answer
    x = 301.50

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1.5x scale

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.