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Finding the Fourth Proportional to 456.23, 685.72 and 375.59

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Solution

The fourth proportional to 456.23, 685.72 and 375.59 is: 564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 685.72 = 375.59 : x
  2. Step 2: Convert to fraction form
    456.23/685.72 = 375.59/x
  3. Step 3: Cross multiply
    456.23x = 685.72 × 375.59
  4. Step 4: Simplify right side
    456.23x = 257,545.79
  5. Step 5: Solve for x
    x = 257,545.79/456.23
  6. Step 6: Final answer
    x = 564.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.