Home / 1,164.13-1,746.20-342.98

Finding the Fourth Proportional to 1,164.13, 1,746.20 and 342.98

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Solution

The fourth proportional to 1,164.13, 1,746.20 and 342.98 is: 514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.13 : 1,746.20 = 342.98 : x
  2. Step 2: Convert to fraction form
    1,164.13/1,746.20 = 342.98/x
  3. Step 3: Cross multiply
    1,164.13x = 1,746.20 × 342.98
  4. Step 4: Simplify right side
    1,164.13x = 598,911.68
  5. Step 5: Solve for x
    x = 598,911.68/1,164.13
  6. Step 6: Final answer
    x = 514.47

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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.