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Finding the Fourth Proportional to 523.94, 786.07 and 315.94

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Solution

The fourth proportional to 523.94, 786.07 and 315.94 is: 474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.94 : 786.07 = 315.94 : x
  2. Step 2: Convert to fraction form
    523.94/786.07 = 315.94/x
  3. Step 3: Cross multiply
    523.94x = 786.07 × 315.94
  4. Step 4: Simplify right side
    523.94x = 248,350.96
  5. Step 5: Solve for x
    x = 248,350.96/523.94
  6. Step 6: Final answer
    x = 474.01

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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.