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Finding the Fourth Proportional to 596.87, 823.54 and 457.15

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Solution

The fourth proportional to 596.87, 823.54 and 457.15 is: 630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.87 : 823.54 = 457.15 : x
  2. Step 2: Convert to fraction form
    596.87/823.54 = 457.15/x
  3. Step 3: Cross multiply
    596.87x = 823.54 × 457.15
  4. Step 4: Simplify right side
    596.87x = 376,474.91
  5. Step 5: Solve for x
    x = 376,474.91/596.87
  6. Step 6: Final answer
    x = 630.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.