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Finding the Fourth Proportional to 524.37, 786.32 and 199.63

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Solution

The fourth proportional to 524.37, 786.32 and 199.63 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.37 : 786.32 = 199.63 : x
  2. Step 2: Convert to fraction form
    524.37/786.32 = 199.63/x
  3. Step 3: Cross multiply
    524.37x = 786.32 × 199.63
  4. Step 4: Simplify right side
    524.37x = 156,968.13
  5. Step 5: Solve for x
    x = 156,968.13/524.37
  6. Step 6: Final answer
    x = 299.35

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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.