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Finding the Fourth Proportional to 524.97, 786.79 and 459.81

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Solution

The fourth proportional to 524.97, 786.79 and 459.81 is: 689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.97 : 786.79 = 459.81 : x
  2. Step 2: Convert to fraction form
    524.97/786.79 = 459.81/x
  3. Step 3: Cross multiply
    524.97x = 786.79 × 459.81
  4. Step 4: Simplify right side
    524.97x = 361,773.91
  5. Step 5: Solve for x
    x = 361,773.91/524.97
  6. Step 6: Final answer
    x = 689.13

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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.