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Finding the Fourth Proportional to 914.58, 1,372.06 and 298.12

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Solution

The fourth proportional to 914.58, 1,372.06 and 298.12 is: 447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.58 : 1,372.06 = 298.12 : x
  2. Step 2: Convert to fraction form
    914.58/1,372.06 = 298.12/x
  3. Step 3: Cross multiply
    914.58x = 1,372.06 × 298.12
  4. Step 4: Simplify right side
    914.58x = 409,034.35
  5. Step 5: Solve for x
    x = 409,034.35/914.58
  6. Step 6: Final answer
    x = 447.24

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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.