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Finding the Fourth Proportional to 1,485.91, 2,228.42 and 782.74

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Solution

The fourth proportional to 1,485.91, 2,228.42 and 782.74 is: 1,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.91 : 2,228.42 = 782.74 : x
  2. Step 2: Convert to fraction form
    1,485.91/2,228.42 = 782.74/x
  3. Step 3: Cross multiply
    1,485.91x = 2,228.42 × 782.74
  4. Step 4: Simplify right side
    1,485.91x = 1,744,278.21
  5. Step 5: Solve for x
    x = 1,744,278.21/1,485.91
  6. Step 6: Final answer
    x = 1,173.88

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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.