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Finding the Fourth Proportional to 609.36, 840.78 and 360.75

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Solution

The fourth proportional to 609.36, 840.78 and 360.75 is: 497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.36 : 840.78 = 360.75 : x
  2. Step 2: Convert to fraction form
    609.36/840.78 = 360.75/x
  3. Step 3: Cross multiply
    609.36x = 840.78 × 360.75
  4. Step 4: Simplify right side
    609.36x = 303,314.54
  5. Step 5: Solve for x
    x = 303,314.54/609.36
  6. Step 6: Final answer
    x = 497.76

Related Problems

Find fourth proportional to 304.68, 420.39 and 180.38
Half scale
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Double scale
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Similar ratio
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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.