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Finding the Fourth Proportional to 471.64, 710.23 and 411.49

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Solution

The fourth proportional to 471.64, 710.23 and 411.49 is: 619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 710.23 = 411.49 : x
  2. Step 2: Convert to fraction form
    471.64/710.23 = 411.49/x
  3. Step 3: Cross multiply
    471.64x = 710.23 × 411.49
  4. Step 4: Simplify right side
    471.64x = 292,252.54
  5. Step 5: Solve for x
    x = 292,252.54/471.64
  6. Step 6: Final answer
    x = 619.65

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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.