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Finding the Fourth Proportional to 1,121.36, 1,680.76 and 535.53

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Solution

The fourth proportional to 1,121.36, 1,680.76 and 535.53 is: 802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.36 : 1,680.76 = 535.53 : x
  2. Step 2: Convert to fraction form
    1,121.36/1,680.76 = 535.53/x
  3. Step 3: Cross multiply
    1,121.36x = 1,680.76 × 535.53
  4. Step 4: Simplify right side
    1,121.36x = 900,086.32
  5. Step 5: Solve for x
    x = 900,086.32/1,121.36
  6. Step 6: Final answer
    x = 802.68

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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.