Home / 1,460.17-2,189.59-419.93

Finding the Fourth Proportional to 1,460.17, 2,189.59 and 419.93

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Solution

The fourth proportional to 1,460.17, 2,189.59 and 419.93 is: 629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.17 : 2,189.59 = 419.93 : x
  2. Step 2: Convert to fraction form
    1,460.17/2,189.59 = 419.93/x
  3. Step 3: Cross multiply
    1,460.17x = 2,189.59 × 419.93
  4. Step 4: Simplify right side
    1,460.17x = 919,474.53
  5. Step 5: Solve for x
    x = 919,474.53/1,460.17
  6. Step 6: Final answer
    x = 629.70

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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.