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Finding the Fourth Proportional to 1,480.56, 2,221.32 and 787.28

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Solution

The fourth proportional to 1,480.56, 2,221.32 and 787.28 is: 1,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.56 : 2,221.32 = 787.28 : x
  2. Step 2: Convert to fraction form
    1,480.56/2,221.32 = 787.28/x
  3. Step 3: Cross multiply
    1,480.56x = 2,221.32 × 787.28
  4. Step 4: Simplify right side
    1,480.56x = 1,748,800.81
  5. Step 5: Solve for x
    x = 1,748,800.81/1,480.56
  6. Step 6: Final answer
    x = 1,181.18

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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.