Home / 1,164.10-1,746.40-342.31

Finding the Fourth Proportional to 1,164.10, 1,746.40 and 342.31

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Solution

The fourth proportional to 1,164.10, 1,746.40 and 342.31 is: 513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.10 : 1,746.40 = 342.31 : x
  2. Step 2: Convert to fraction form
    1,164.10/1,746.40 = 342.31/x
  3. Step 3: Cross multiply
    1,164.10x = 1,746.40 × 342.31
  4. Step 4: Simplify right side
    1,164.10x = 597,810.18
  5. Step 5: Solve for x
    x = 597,810.18/1,164.10
  6. Step 6: Final answer
    x = 513.54

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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.