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Finding the Fourth Proportional to 1,459.92, 2,014.86 and 813.22

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Solution

The fourth proportional to 1,459.92, 2,014.86 and 813.22 is: 1,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.92 : 2,014.86 = 813.22 : x
  2. Step 2: Convert to fraction form
    1,459.92/2,014.86 = 813.22/x
  3. Step 3: Cross multiply
    1,459.92x = 2,014.86 × 813.22
  4. Step 4: Simplify right side
    1,459.92x = 1,638,520.38
  5. Step 5: Solve for x
    x = 1,638,520.38/1,459.92
  6. Step 6: Final answer
    x = 1,122.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.