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Finding the Fourth Proportional to 1,205.02, 1,805.82 and 684.28

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Solution

The fourth proportional to 1,205.02, 1,805.82 and 684.28 is: 1,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.02 : 1,805.82 = 684.28 : x
  2. Step 2: Convert to fraction form
    1,205.02/1,805.82 = 684.28/x
  3. Step 3: Cross multiply
    1,205.02x = 1,805.82 × 684.28
  4. Step 4: Simplify right side
    1,205.02x = 1,235,686.51
  5. Step 5: Solve for x
    x = 1,235,686.51/1,205.02
  6. Step 6: Final answer
    x = 1,025.45

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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.