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Finding the Fourth Proportional to 1,485.02, 2,226.77 and 547.91

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Solution

The fourth proportional to 1,485.02, 2,226.77 and 547.91 is: 821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.02 : 2,226.77 = 547.91 : x
  2. Step 2: Convert to fraction form
    1,485.02/2,226.77 = 547.91/x
  3. Step 3: Cross multiply
    1,485.02x = 2,226.77 × 547.91
  4. Step 4: Simplify right side
    1,485.02x = 1,220,081.69
  5. Step 5: Solve for x
    x = 1,220,081.69/1,485.02
  6. Step 6: Final answer
    x = 821.59

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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.