Home / 1,164.55-1,746.10-395.11

Finding the Fourth Proportional to 1,164.55, 1,746.10 and 395.11

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Solution

The fourth proportional to 1,164.55, 1,746.10 and 395.11 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.55 : 1,746.10 = 395.11 : x
  2. Step 2: Convert to fraction form
    1,164.55/1,746.10 = 395.11/x
  3. Step 3: Cross multiply
    1,164.55x = 1,746.10 × 395.11
  4. Step 4: Simplify right side
    1,164.55x = 689,901.57
  5. Step 5: Solve for x
    x = 689,901.57/1,164.55
  6. Step 6: Final answer
    x = 592.42

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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.