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Finding the Fourth Proportional to 610.38, 840.78 and 444.12

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Solution

The fourth proportional to 610.38, 840.78 and 444.12 is: 611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.38 : 840.78 = 444.12 : x
  2. Step 2: Convert to fraction form
    610.38/840.78 = 444.12/x
  3. Step 3: Cross multiply
    610.38x = 840.78 × 444.12
  4. Step 4: Simplify right side
    610.38x = 373,407.21
  5. Step 5: Solve for x
    x = 373,407.21/610.38
  6. Step 6: Final answer
    x = 611.76

Related Problems

Find fourth proportional to 305.19, 420.39 and 222.06
Half scale
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Double scale
Find fourth proportional to 611.38, 842.16 and 445.12
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.