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Finding the Fourth Proportional to 1,085.28, 1,626.75 and 536.28

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Solution

The fourth proportional to 1,085.28, 1,626.75 and 536.28 is: 803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.28 : 1,626.75 = 536.28 : x
  2. Step 2: Convert to fraction form
    1,085.28/1,626.75 = 536.28/x
  3. Step 3: Cross multiply
    1,085.28x = 1,626.75 × 536.28
  4. Step 4: Simplify right side
    1,085.28x = 872,393.49
  5. Step 5: Solve for x
    x = 872,393.49/1,085.28
  6. Step 6: Final answer
    x = 803.84

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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.