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Finding the Fourth Proportional to 597.12, 823.86 and 400.92

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Solution

The fourth proportional to 597.12, 823.86 and 400.92 is: 553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 823.86 = 400.92 : x
  2. Step 2: Convert to fraction form
    597.12/823.86 = 400.92/x
  3. Step 3: Cross multiply
    597.12x = 823.86 × 400.92
  4. Step 4: Simplify right side
    597.12x = 330,301.95
  5. Step 5: Solve for x
    x = 330,301.95/597.12
  6. Step 6: Final answer
    x = 553.16

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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.