Home / 1,204.16-1,660.20-810.32

Finding the Fourth Proportional to 1,204.16, 1,660.20 and 810.32

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Solution

The fourth proportional to 1,204.16, 1,660.20 and 810.32 is: 1,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.16 : 1,660.20 = 810.32 : x
  2. Step 2: Convert to fraction form
    1,204.16/1,660.20 = 810.32/x
  3. Step 3: Cross multiply
    1,204.16x = 1,660.20 × 810.32
  4. Step 4: Simplify right side
    1,204.16x = 1,345,293.26
  5. Step 5: Solve for x
    x = 1,345,293.26/1,204.16
  6. Step 6: Final answer
    x = 1,117.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.