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Finding the Fourth Proportional to 477.50, 719.94 and 382.46

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Solution

The fourth proportional to 477.50, 719.94 and 382.46 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.50 : 719.94 = 382.46 : x
  2. Step 2: Convert to fraction form
    477.50/719.94 = 382.46/x
  3. Step 3: Cross multiply
    477.50x = 719.94 × 382.46
  4. Step 4: Simplify right side
    477.50x = 275,348.25
  5. Step 5: Solve for x
    x = 275,348.25/477.50
  6. Step 6: Final answer
    x = 576.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.