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Finding the Fourth Proportional to 1,411.63, 2,117.44 and 762.21

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Solution

The fourth proportional to 1,411.63, 2,117.44 and 762.21 is: 1,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.63 : 2,117.44 = 762.21 : x
  2. Step 2: Convert to fraction form
    1,411.63/2,117.44 = 762.21/x
  3. Step 3: Cross multiply
    1,411.63x = 2,117.44 × 762.21
  4. Step 4: Simplify right side
    1,411.63x = 1,613,934.90
  5. Step 5: Solve for x
    x = 1,613,934.90/1,411.63
  6. Step 6: Final answer
    x = 1,143.32

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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.