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Finding the Fourth Proportional to 471.88, 703.63 and 461.35

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Solution

The fourth proportional to 471.88, 703.63 and 461.35 is: 687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.88 : 703.63 = 461.35 : x
  2. Step 2: Convert to fraction form
    471.88/703.63 = 461.35/x
  3. Step 3: Cross multiply
    471.88x = 703.63 × 461.35
  4. Step 4: Simplify right side
    471.88x = 324,619.70
  5. Step 5: Solve for x
    x = 324,619.70/471.88
  6. Step 6: Final answer
    x = 687.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.