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Finding the Fourth Proportional to 524.10, 786.69 and 392.81

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Solution

The fourth proportional to 524.10, 786.69 and 392.81 is: 589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.10 : 786.69 = 392.81 : x
  2. Step 2: Convert to fraction form
    524.10/786.69 = 392.81/x
  3. Step 3: Cross multiply
    524.10x = 786.69 × 392.81
  4. Step 4: Simplify right side
    524.10x = 309,021.67
  5. Step 5: Solve for x
    x = 309,021.67/524.10
  6. Step 6: Final answer
    x = 589.62

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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.