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Finding the Fourth Proportional to 1,499.56, 2,249.35 and 841.05

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Solution

The fourth proportional to 1,499.56, 2,249.35 and 841.05 is: 1,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.56 : 2,249.35 = 841.05 : x
  2. Step 2: Convert to fraction form
    1,499.56/2,249.35 = 841.05/x
  3. Step 3: Cross multiply
    1,499.56x = 2,249.35 × 841.05
  4. Step 4: Simplify right side
    1,499.56x = 1,891,813.71
  5. Step 5: Solve for x
    x = 1,891,813.71/1,499.56
  6. Step 6: Final answer
    x = 1,261.58

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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.