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Finding the Fourth Proportional to 524.85, 787.82 and 393.56

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Solution

The fourth proportional to 524.85, 787.82 and 393.56 is: 590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.85 : 787.82 = 393.56 : x
  2. Step 2: Convert to fraction form
    524.85/787.82 = 393.56/x
  3. Step 3: Cross multiply
    524.85x = 787.82 × 393.56
  4. Step 4: Simplify right side
    524.85x = 310,054.44
  5. Step 5: Solve for x
    x = 310,054.44/524.85
  6. Step 6: Final answer
    x = 590.75

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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.