Home / 1,110.08-1,664.71-460.06

Finding the Fourth Proportional to 1,110.08, 1,664.71 and 460.06

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Solution

The fourth proportional to 1,110.08, 1,664.71 and 460.06 is: 689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.08 : 1,664.71 = 460.06 : x
  2. Step 2: Convert to fraction form
    1,110.08/1,664.71 = 460.06/x
  3. Step 3: Cross multiply
    1,110.08x = 1,664.71 × 460.06
  4. Step 4: Simplify right side
    1,110.08x = 765,866.48
  5. Step 5: Solve for x
    x = 765,866.48/1,110.08
  6. Step 6: Final answer
    x = 689.92

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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.