Home / 1,164.10-1,746.15-342.38

Finding the Fourth Proportional to 1,164.10, 1,746.15 and 342.38

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Solution

The fourth proportional to 1,164.10, 1,746.15 and 342.38 is: 513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.10 : 1,746.15 = 342.38 : x
  2. Step 2: Convert to fraction form
    1,164.10/1,746.15 = 342.38/x
  3. Step 3: Cross multiply
    1,164.10x = 1,746.15 × 342.38
  4. Step 4: Simplify right side
    1,164.10x = 597,845.97
  5. Step 5: Solve for x
    x = 597,845.97/1,164.10
  6. Step 6: Final answer
    x = 513.57

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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.