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Finding the Fourth Proportional to 523.37, 785.23 and 315.37

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Solution

The fourth proportional to 523.37, 785.23 and 315.37 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.37 : 785.23 = 315.37 : x
  2. Step 2: Convert to fraction form
    523.37/785.23 = 315.37/x
  3. Step 3: Cross multiply
    523.37x = 785.23 × 315.37
  4. Step 4: Simplify right side
    523.37x = 247,637.99
  5. Step 5: Solve for x
    x = 247,637.99/523.37
  6. Step 6: Final answer
    x = 473.16

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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.