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Finding the Fourth Proportional to 610.32, 842.16 and 344.78

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Solution

The fourth proportional to 610.32, 842.16 and 344.78 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.32 : 842.16 = 344.78 : x
  2. Step 2: Convert to fraction form
    610.32/842.16 = 344.78/x
  3. Step 3: Cross multiply
    610.32x = 842.16 × 344.78
  4. Step 4: Simplify right side
    610.32x = 290,359.92
  5. Step 5: Solve for x
    x = 290,359.92/610.32
  6. Step 6: Final answer
    x = 475.75

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Half scale
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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.