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Finding the Fourth Proportional to 469.44, 703.41 and 314.80

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Solution

The fourth proportional to 469.44, 703.41 and 314.80 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.44 : 703.41 = 314.80 : x
  2. Step 2: Convert to fraction form
    469.44/703.41 = 314.80/x
  3. Step 3: Cross multiply
    469.44x = 703.41 × 314.80
  4. Step 4: Simplify right side
    469.44x = 221,433.47
  5. Step 5: Solve for x
    x = 221,433.47/469.44
  6. Step 6: Final answer
    x = 471.70

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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.