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Finding the Fourth Proportional to 600.76, 829.83 and 443.71

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Solution

The fourth proportional to 600.76, 829.83 and 443.71 is: 612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 829.83 = 443.71 : x
  2. Step 2: Convert to fraction form
    600.76/829.83 = 443.71/x
  3. Step 3: Cross multiply
    600.76x = 829.83 × 443.71
  4. Step 4: Simplify right side
    600.76x = 368,203.87
  5. Step 5: Solve for x
    x = 368,203.87/600.76
  6. Step 6: Final answer
    x = 612.90

Related Problems

Find fourth proportional to 300.38, 414.92 and 221.86
Half scale
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Double scale
Find fourth proportional to 601.76, 831.21 and 444.71
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.