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Finding the Fourth Proportional to 477.57, 719.37 and 426.81

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Solution

The fourth proportional to 477.57, 719.37 and 426.81 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.57 : 719.37 = 426.81 : x
  2. Step 2: Convert to fraction form
    477.57/719.37 = 426.81/x
  3. Step 3: Cross multiply
    477.57x = 719.37 × 426.81
  4. Step 4: Simplify right side
    477.57x = 307,034.31
  5. Step 5: Solve for x
    x = 307,034.31/477.57
  6. Step 6: Final answer
    x = 642.91

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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.