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Finding the Fourth Proportional to 1,463.30, 2,019.18 and 833.60

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Solution

The fourth proportional to 1,463.30, 2,019.18 and 833.60 is: 1,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.30 : 2,019.18 = 833.60 : x
  2. Step 2: Convert to fraction form
    1,463.30/2,019.18 = 833.60/x
  3. Step 3: Cross multiply
    1,463.30x = 2,019.18 × 833.60
  4. Step 4: Simplify right side
    1,463.30x = 1,683,188.45
  5. Step 5: Solve for x
    x = 1,683,188.45/1,463.30
  6. Step 6: Final answer
    x = 1,150.27

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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.