Home / 1,460.04-2,188.16-764.95

Finding the Fourth Proportional to 1,460.04, 2,188.16 and 764.95

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Solution

The fourth proportional to 1,460.04, 2,188.16 and 764.95 is: 1,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.04 : 2,188.16 = 764.95 : x
  2. Step 2: Convert to fraction form
    1,460.04/2,188.16 = 764.95/x
  3. Step 3: Cross multiply
    1,460.04x = 2,188.16 × 764.95
  4. Step 4: Simplify right side
    1,460.04x = 1,673,822.05
  5. Step 5: Solve for x
    x = 1,673,822.05/1,460.04
  6. Step 6: Final answer
    x = 1,146.43

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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.