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Finding the Fourth Proportional to 1,445.64, 1,994.98 and 782.49

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Solution

The fourth proportional to 1,445.64, 1,994.98 and 782.49 is: 1,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.64 : 1,994.98 = 782.49 : x
  2. Step 2: Convert to fraction form
    1,445.64/1,994.98 = 782.49/x
  3. Step 3: Cross multiply
    1,445.64x = 1,994.98 × 782.49
  4. Step 4: Simplify right side
    1,445.64x = 1,561,049.87
  5. Step 5: Solve for x
    x = 1,561,049.87/1,445.64
  6. Step 6: Final answer
    x = 1,079.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.