Home / 1,164.38-1,746.57-298.70

Finding the Fourth Proportional to 1,164.38, 1,746.57 and 298.70

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Solution

The fourth proportional to 1,164.38, 1,746.57 and 298.70 is: 448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.38 : 1,746.57 = 298.70 : x
  2. Step 2: Convert to fraction form
    1,164.38/1,746.57 = 298.70/x
  3. Step 3: Cross multiply
    1,164.38x = 1,746.57 × 298.70
  4. Step 4: Simplify right side
    1,164.38x = 521,700.46
  5. Step 5: Solve for x
    x = 521,700.46/1,164.38
  6. Step 6: Final answer
    x = 448.05

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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.