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Finding the Fourth Proportional to 597.47, 824.30 and 348.70

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Solution

The fourth proportional to 597.47, 824.30 and 348.70 is: 481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.47 : 824.30 = 348.70 : x
  2. Step 2: Convert to fraction form
    597.47/824.30 = 348.70/x
  3. Step 3: Cross multiply
    597.47x = 824.30 × 348.70
  4. Step 4: Simplify right side
    597.47x = 287,433.41
  5. Step 5: Solve for x
    x = 287,433.41/597.47
  6. Step 6: Final answer
    x = 481.08

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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.