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Finding the Fourth Proportional to 1,253.64, 1,880.54 and 484.12

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Solution

The fourth proportional to 1,253.64, 1,880.54 and 484.12 is: 726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.64 : 1,880.54 = 484.12 : x
  2. Step 2: Convert to fraction form
    1,253.64/1,880.54 = 484.12/x
  3. Step 3: Cross multiply
    1,253.64x = 1,880.54 × 484.12
  4. Step 4: Simplify right side
    1,253.64x = 910,407.02
  5. Step 5: Solve for x
    x = 910,407.02/1,253.64
  6. Step 6: Final answer
    x = 726.21

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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.