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Finding the Fourth Proportional to 597.89, 824.91 and 345.81

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Solution

The fourth proportional to 597.89, 824.91 and 345.81 is: 477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.89 : 824.91 = 345.81 : x
  2. Step 2: Convert to fraction form
    597.89/824.91 = 345.81/x
  3. Step 3: Cross multiply
    597.89x = 824.91 × 345.81
  4. Step 4: Simplify right side
    597.89x = 285,262.13
  5. Step 5: Solve for x
    x = 285,262.13/597.89
  6. Step 6: Final answer
    x = 477.12

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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.