Home / 1,097.50-1,641.39-1,005.16

Finding the Fourth Proportional to 1,097.50, 1,641.39 and 1,005.16

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Solution

The fourth proportional to 1,097.50, 1,641.39 and 1,005.16 is: 1,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.50 : 1,641.39 = 1,005.16 : x
  2. Step 2: Convert to fraction form
    1,097.50/1,641.39 = 1,005.16/x
  3. Step 3: Cross multiply
    1,097.50x = 1,641.39 × 1,005.16
  4. Step 4: Simplify right side
    1,097.50x = 1,649,859.57
  5. Step 5: Solve for x
    x = 1,649,859.57/1,097.50
  6. Step 6: Final answer
    x = 1,503.29

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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.