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Finding the Fourth Proportional to 597.12, 823.78 and 348.38

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Solution

The fourth proportional to 597.12, 823.78 and 348.38 is: 480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 823.78 = 348.38 : x
  2. Step 2: Convert to fraction form
    597.12/823.78 = 348.38/x
  3. Step 3: Cross multiply
    597.12x = 823.78 × 348.38
  4. Step 4: Simplify right side
    597.12x = 286,988.48
  5. Step 5: Solve for x
    x = 286,988.48/597.12
  6. Step 6: Final answer
    x = 480.62

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1.5x scale

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.