Home / 1,460.30-2,186.19-765.32

Finding the Fourth Proportional to 1,460.30, 2,186.19 and 765.32

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Solution

The fourth proportional to 1,460.30, 2,186.19 and 765.32 is: 1,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.30 : 2,186.19 = 765.32 : x
  2. Step 2: Convert to fraction form
    1,460.30/2,186.19 = 765.32/x
  3. Step 3: Cross multiply
    1,460.30x = 2,186.19 × 765.32
  4. Step 4: Simplify right side
    1,460.30x = 1,673,124.00
  5. Step 5: Solve for x
    x = 1,673,124.00/1,460.30
  6. Step 6: Final answer
    x = 1,145.74

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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.