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Finding the Fourth Proportional to 1,504.55, 2,252.02 and 809.51

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Solution

The fourth proportional to 1,504.55, 2,252.02 and 809.51 is: 1,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.55 : 2,252.02 = 809.51 : x
  2. Step 2: Convert to fraction form
    1,504.55/2,252.02 = 809.51/x
  3. Step 3: Cross multiply
    1,504.55x = 2,252.02 × 809.51
  4. Step 4: Simplify right side
    1,504.55x = 1,823,032.71
  5. Step 5: Solve for x
    x = 1,823,032.71/1,504.55
  6. Step 6: Final answer
    x = 1,211.68

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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.