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Finding the Fourth Proportional to 471.87, 703.31 and 468.05

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Solution

The fourth proportional to 471.87, 703.31 and 468.05 is: 697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.87 : 703.31 = 468.05 : x
  2. Step 2: Convert to fraction form
    471.87/703.31 = 468.05/x
  3. Step 3: Cross multiply
    471.87x = 703.31 × 468.05
  4. Step 4: Simplify right side
    471.87x = 329,178.39
  5. Step 5: Solve for x
    x = 329,178.39/471.87
  6. Step 6: Final answer
    x = 697.60

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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.