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Finding the Fourth Proportional to 597.17, 823.77 and 439.83

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Solution

The fourth proportional to 597.17, 823.77 and 439.83 is: 606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 823.77 = 439.83 : x
  2. Step 2: Convert to fraction form
    597.17/823.77 = 439.83/x
  3. Step 3: Cross multiply
    597.17x = 823.77 × 439.83
  4. Step 4: Simplify right side
    597.17x = 362,318.76
  5. Step 5: Solve for x
    x = 362,318.76/597.17
  6. Step 6: Final answer
    x = 606.72

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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.