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Finding the Fourth Proportional to 609.38, 840.80 and 360.71

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Solution

The fourth proportional to 609.38, 840.80 and 360.71 is: 497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.38 : 840.80 = 360.71 : x
  2. Step 2: Convert to fraction form
    609.38/840.80 = 360.71/x
  3. Step 3: Cross multiply
    609.38x = 840.80 × 360.71
  4. Step 4: Simplify right side
    609.38x = 303,281.67
  5. Step 5: Solve for x
    x = 303,281.67/609.38
  6. Step 6: Final answer
    x = 497.69

Related Problems

Find fourth proportional to 304.69, 420.40 and 180.35
Half scale
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Double scale
Find fourth proportional to 610.38, 842.18 and 361.71
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.