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Finding the Fourth Proportional to 1,162.66, 1,744.18 and 340.84

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Solution

The fourth proportional to 1,162.66, 1,744.18 and 340.84 is: 511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.66 : 1,744.18 = 340.84 : x
  2. Step 2: Convert to fraction form
    1,162.66/1,744.18 = 340.84/x
  3. Step 3: Cross multiply
    1,162.66x = 1,744.18 × 340.84
  4. Step 4: Simplify right side
    1,162.66x = 594,486.31
  5. Step 5: Solve for x
    x = 594,486.31/1,162.66
  6. Step 6: Final answer
    x = 511.32

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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.