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Finding the Fourth Proportional to 524.20, 786.46 and 318.92

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Solution

The fourth proportional to 524.20, 786.46 and 318.92 is: 478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 786.46 = 318.92 : x
  2. Step 2: Convert to fraction form
    524.20/786.46 = 318.92/x
  3. Step 3: Cross multiply
    524.20x = 786.46 × 318.92
  4. Step 4: Simplify right side
    524.20x = 250,817.82
  5. Step 5: Solve for x
    x = 250,817.82/524.20
  6. Step 6: Final answer
    x = 478.48

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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.