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Finding the Fourth Proportional to 523.95, 789.03 and 456.29

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Solution

The fourth proportional to 523.95, 789.03 and 456.29 is: 687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.95 : 789.03 = 456.29 : x
  2. Step 2: Convert to fraction form
    523.95/789.03 = 456.29/x
  3. Step 3: Cross multiply
    523.95x = 789.03 × 456.29
  4. Step 4: Simplify right side
    523.95x = 360,020.27
  5. Step 5: Solve for x
    x = 360,020.27/523.95
  6. Step 6: Final answer
    x = 687.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.