Home / 1,459.66-2,189.36-582.13

Finding the Fourth Proportional to 1,459.66, 2,189.36 and 582.13

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Solution

The fourth proportional to 1,459.66, 2,189.36 and 582.13 is: 873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.66 : 2,189.36 = 582.13 : x
  2. Step 2: Convert to fraction form
    1,459.66/2,189.36 = 582.13/x
  3. Step 3: Cross multiply
    1,459.66x = 2,189.36 × 582.13
  4. Step 4: Simplify right side
    1,459.66x = 1,274,492.14
  5. Step 5: Solve for x
    x = 1,274,492.14/1,459.66
  6. Step 6: Final answer
    x = 873.14

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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.