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Finding the Fourth Proportional to 449.66, 621.60 and 412.76

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Solution

The fourth proportional to 449.66, 621.60 and 412.76 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.66 : 621.60 = 412.76 : x
  2. Step 2: Convert to fraction form
    449.66/621.60 = 412.76/x
  3. Step 3: Cross multiply
    449.66x = 621.60 × 412.76
  4. Step 4: Simplify right side
    449.66x = 256,571.62
  5. Step 5: Solve for x
    x = 256,571.62/449.66
  6. Step 6: Final answer
    x = 570.59

Related Problems

Find fourth proportional to 224.83, 310.80 and 206.38
Half scale
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Double scale
Find fourth proportional to 450.66, 622.98 and 413.76
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.