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Finding the Fourth Proportional to 1,459.57, 2,189.66 and 808.94

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Solution

The fourth proportional to 1,459.57, 2,189.66 and 808.94 is: 1,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.57 : 2,189.66 = 808.94 : x
  2. Step 2: Convert to fraction form
    1,459.57/2,189.66 = 808.94/x
  3. Step 3: Cross multiply
    1,459.57x = 2,189.66 × 808.94
  4. Step 4: Simplify right side
    1,459.57x = 1,771,303.56
  5. Step 5: Solve for x
    x = 1,771,303.56/1,459.57
  6. Step 6: Final answer
    x = 1,213.58

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1.5x scale

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.