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Finding the Fourth Proportional to 1,206.53, 1,808.16 and 547.59

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Solution

The fourth proportional to 1,206.53, 1,808.16 and 547.59 is: 820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.53 : 1,808.16 = 547.59 : x
  2. Step 2: Convert to fraction form
    1,206.53/1,808.16 = 547.59/x
  3. Step 3: Cross multiply
    1,206.53x = 1,808.16 × 547.59
  4. Step 4: Simplify right side
    1,206.53x = 990,121.29
  5. Step 5: Solve for x
    x = 990,121.29/1,206.53
  6. Step 6: Final answer
    x = 820.64

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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.