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Finding the Fourth Proportional to 597.49, 824.29 and 431.34

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Solution

The fourth proportional to 597.49, 824.29 and 431.34 is: 595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.49 : 824.29 = 431.34 : x
  2. Step 2: Convert to fraction form
    597.49/824.29 = 431.34/x
  3. Step 3: Cross multiply
    597.49x = 824.29 × 431.34
  4. Step 4: Simplify right side
    597.49x = 355,549.25
  5. Step 5: Solve for x
    x = 355,549.25/597.49
  6. Step 6: Final answer
    x = 595.07

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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.