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Finding the Fourth Proportional to 596.30, 822.35 and 400.07

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Solution

The fourth proportional to 596.30, 822.35 and 400.07 is: 551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 822.35 = 400.07 : x
  2. Step 2: Convert to fraction form
    596.30/822.35 = 400.07/x
  3. Step 3: Cross multiply
    596.30x = 822.35 × 400.07
  4. Step 4: Simplify right side
    596.30x = 329,000.62
  5. Step 5: Solve for x
    x = 329,000.62/596.30
  6. Step 6: Final answer
    x = 551.74

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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.