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Finding the Fourth Proportional to 1,245.24, 1,864.62 and 811.08

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Solution

The fourth proportional to 1,245.24, 1,864.62 and 811.08 is: 1,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.24 : 1,864.62 = 811.08 : x
  2. Step 2: Convert to fraction form
    1,245.24/1,864.62 = 811.08/x
  3. Step 3: Cross multiply
    1,245.24x = 1,864.62 × 811.08
  4. Step 4: Simplify right side
    1,245.24x = 1,512,355.99
  5. Step 5: Solve for x
    x = 1,512,355.99/1,245.24
  6. Step 6: Final answer
    x = 1,214.51

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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.