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Finding the Fourth Proportional to 875.64, 1,313.06 and 298.28

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Solution

The fourth proportional to 875.64, 1,313.06 and 298.28 is: 447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.64 : 1,313.06 = 298.28 : x
  2. Step 2: Convert to fraction form
    875.64/1,313.06 = 298.28/x
  3. Step 3: Cross multiply
    875.64x = 1,313.06 × 298.28
  4. Step 4: Simplify right side
    875.64x = 391,659.54
  5. Step 5: Solve for x
    x = 391,659.54/875.64
  6. Step 6: Final answer
    x = 447.28

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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.