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Finding the Fourth Proportional to 477.34, 716.24 and 412.74

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Solution

The fourth proportional to 477.34, 716.24 and 412.74 is: 619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.34 : 716.24 = 412.74 : x
  2. Step 2: Convert to fraction form
    477.34/716.24 = 412.74/x
  3. Step 3: Cross multiply
    477.34x = 716.24 × 412.74
  4. Step 4: Simplify right side
    477.34x = 295,618.83
  5. Step 5: Solve for x
    x = 295,618.83/477.34
  6. Step 6: Final answer
    x = 619.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.