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Finding the Fourth Proportional to 471.04, 703.60 and 315.68

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Solution

The fourth proportional to 471.04, 703.60 and 315.68 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.04 : 703.60 = 315.68 : x
  2. Step 2: Convert to fraction form
    471.04/703.60 = 315.68/x
  3. Step 3: Cross multiply
    471.04x = 703.60 × 315.68
  4. Step 4: Simplify right side
    471.04x = 222,112.45
  5. Step 5: Solve for x
    x = 222,112.45/471.04
  6. Step 6: Final answer
    x = 471.54

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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.