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Finding the Fourth Proportional to 1,085.50, 1,628.25 and 537.84

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Solution

The fourth proportional to 1,085.50, 1,628.25 and 537.84 is: 806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.50 : 1,628.25 = 537.84 : x
  2. Step 2: Convert to fraction form
    1,085.50/1,628.25 = 537.84/x
  3. Step 3: Cross multiply
    1,085.50x = 1,628.25 × 537.84
  4. Step 4: Simplify right side
    1,085.50x = 875,738.99
  5. Step 5: Solve for x
    x = 875,738.99/1,085.50
  6. Step 6: Final answer
    x = 806.76

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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.