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Finding the Fourth Proportional to 1,390.23, 2,084.36 and 567.81

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Solution

The fourth proportional to 1,390.23, 2,084.36 and 567.81 is: 851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.23 : 2,084.36 = 567.81 : x
  2. Step 2: Convert to fraction form
    1,390.23/2,084.36 = 567.81/x
  3. Step 3: Cross multiply
    1,390.23x = 2,084.36 × 567.81
  4. Step 4: Simplify right side
    1,390.23x = 1,183,517.61
  5. Step 5: Solve for x
    x = 1,183,517.61/1,390.23
  6. Step 6: Final answer
    x = 851.31

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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.