Home / 1,164.17-1,746.30-298.49

Finding the Fourth Proportional to 1,164.17, 1,746.30 and 298.49

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Solution

The fourth proportional to 1,164.17, 1,746.30 and 298.49 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.17 : 1,746.30 = 298.49 : x
  2. Step 2: Convert to fraction form
    1,164.17/1,746.30 = 298.49/x
  3. Step 3: Cross multiply
    1,164.17x = 1,746.30 × 298.49
  4. Step 4: Simplify right side
    1,164.17x = 521,245.47
  5. Step 5: Solve for x
    x = 521,245.47/1,164.17
  6. Step 6: Final answer
    x = 447.74

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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.