Home / 1,459.23-2,186.56-800.54

Finding the Fourth Proportional to 1,459.23, 2,186.56 and 800.54

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Solution

The fourth proportional to 1,459.23, 2,186.56 and 800.54 is: 1,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.23 : 2,186.56 = 800.54 : x
  2. Step 2: Convert to fraction form
    1,459.23/2,186.56 = 800.54/x
  3. Step 3: Cross multiply
    1,459.23x = 2,186.56 × 800.54
  4. Step 4: Simplify right side
    1,459.23x = 1,750,437.81
  5. Step 5: Solve for x
    x = 1,750,437.81/1,459.23
  6. Step 6: Final answer
    x = 1,199.57

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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.