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Finding the Fourth Proportional to 445.81, 614.98 and 411.46

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Solution

The fourth proportional to 445.81, 614.98 and 411.46 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.81 : 614.98 = 411.46 : x
  2. Step 2: Convert to fraction form
    445.81/614.98 = 411.46/x
  3. Step 3: Cross multiply
    445.81x = 614.98 × 411.46
  4. Step 4: Simplify right side
    445.81x = 253,039.67
  5. Step 5: Solve for x
    x = 253,039.67/445.81
  6. Step 6: Final answer
    x = 567.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.