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Finding the Fourth Proportional to 1,816.50, 2,724.12 and 705.65

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Solution

The fourth proportional to 1,816.50, 2,724.12 and 705.65 is: 1,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.50 : 2,724.12 = 705.65 : x
  2. Step 2: Convert to fraction form
    1,816.50/2,724.12 = 705.65/x
  3. Step 3: Cross multiply
    1,816.50x = 2,724.12 × 705.65
  4. Step 4: Simplify right side
    1,816.50x = 1,922,274.50
  5. Step 5: Solve for x
    x = 1,922,274.50/1,816.50
  6. Step 6: Final answer
    x = 1,058.23

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1.5x scale

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.