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Finding the Fourth Proportional to 1,074.66, 1,612.38 and 684.06

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Solution

The fourth proportional to 1,074.66, 1,612.38 and 684.06 is: 1,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.66 : 1,612.38 = 684.06 : x
  2. Step 2: Convert to fraction form
    1,074.66/1,612.38 = 684.06/x
  3. Step 3: Cross multiply
    1,074.66x = 1,612.38 × 684.06
  4. Step 4: Simplify right side
    1,074.66x = 1,102,964.66
  5. Step 5: Solve for x
    x = 1,102,964.66/1,074.66
  6. Step 6: Final answer
    x = 1,026.34

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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.