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Finding the Fourth Proportional to 596.78, 823.56 and 348.12

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Solution

The fourth proportional to 596.78, 823.56 and 348.12 is: 480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.78 : 823.56 = 348.12 : x
  2. Step 2: Convert to fraction form
    596.78/823.56 = 348.12/x
  3. Step 3: Cross multiply
    596.78x = 823.56 × 348.12
  4. Step 4: Simplify right side
    596.78x = 286,697.71
  5. Step 5: Solve for x
    x = 286,697.71/596.78
  6. Step 6: Final answer
    x = 480.41

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Double scale
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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.