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Finding the Fourth Proportional to 597.34, 824.36 and 345.30

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Solution

The fourth proportional to 597.34, 824.36 and 345.30 is: 476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.34 : 824.36 = 345.30 : x
  2. Step 2: Convert to fraction form
    597.34/824.36 = 345.30/x
  3. Step 3: Cross multiply
    597.34x = 824.36 × 345.30
  4. Step 4: Simplify right side
    597.34x = 284,651.51
  5. Step 5: Solve for x
    x = 284,651.51/597.34
  6. Step 6: Final answer
    x = 476.53

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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.