Home / 1,459.04-2,189.64-690.08

Finding the Fourth Proportional to 1,459.04, 2,189.64 and 690.08

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Solution

The fourth proportional to 1,459.04, 2,189.64 and 690.08 is: 1,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.04 : 2,189.64 = 690.08 : x
  2. Step 2: Convert to fraction form
    1,459.04/2,189.64 = 690.08/x
  3. Step 3: Cross multiply
    1,459.04x = 2,189.64 × 690.08
  4. Step 4: Simplify right side
    1,459.04x = 1,511,026.77
  5. Step 5: Solve for x
    x = 1,511,026.77/1,459.04
  6. Step 6: Final answer
    x = 1,035.63

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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.