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Finding the Fourth Proportional to 1,305.98, 1,803.03 and 1,160.18

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Solution

The fourth proportional to 1,305.98, 1,803.03 and 1,160.18 is: 1,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.98 : 1,803.03 = 1,160.18 : x
  2. Step 2: Convert to fraction form
    1,305.98/1,803.03 = 1,160.18/x
  3. Step 3: Cross multiply
    1,305.98x = 1,803.03 × 1,160.18
  4. Step 4: Simplify right side
    1,305.98x = 2,091,839.35
  5. Step 5: Solve for x
    x = 2,091,839.35/1,305.98
  6. Step 6: Final answer
    x = 1,601.74

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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.