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Finding the Fourth Proportional to 1,096.83, 1,512.93 and 738.53

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Solution

The fourth proportional to 1,096.83, 1,512.93 and 738.53 is: 1,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.83 : 1,512.93 = 738.53 : x
  2. Step 2: Convert to fraction form
    1,096.83/1,512.93 = 738.53/x
  3. Step 3: Cross multiply
    1,096.83x = 1,512.93 × 738.53
  4. Step 4: Simplify right side
    1,096.83x = 1,117,344.19
  5. Step 5: Solve for x
    x = 1,117,344.19/1,096.83
  6. Step 6: Final answer
    x = 1,018.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.