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Finding the Fourth Proportional to 473.14, 703.52 and 453.70

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Solution

The fourth proportional to 473.14, 703.52 and 453.70 is: 674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.14 : 703.52 = 453.70 : x
  2. Step 2: Convert to fraction form
    473.14/703.52 = 453.70/x
  3. Step 3: Cross multiply
    473.14x = 703.52 × 453.70
  4. Step 4: Simplify right side
    473.14x = 319,187.02
  5. Step 5: Solve for x
    x = 319,187.02/473.14
  6. Step 6: Final answer
    x = 674.61

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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.