Home / 1,459.08-2,188.94-433.16

Finding the Fourth Proportional to 1,459.08, 2,188.94 and 433.16

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Solution

The fourth proportional to 1,459.08, 2,188.94 and 433.16 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.08 : 2,188.94 = 433.16 : x
  2. Step 2: Convert to fraction form
    1,459.08/2,188.94 = 433.16/x
  3. Step 3: Cross multiply
    1,459.08x = 2,188.94 × 433.16
  4. Step 4: Simplify right side
    1,459.08x = 948,161.25
  5. Step 5: Solve for x
    x = 948,161.25/1,459.08
  6. Step 6: Final answer
    x = 649.83

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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.