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Finding the Fourth Proportional to 1,389.65, 2,084.42 and 567.94

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Solution

The fourth proportional to 1,389.65, 2,084.42 and 567.94 is: 851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.65 : 2,084.42 = 567.94 : x
  2. Step 2: Convert to fraction form
    1,389.65/2,084.42 = 567.94/x
  3. Step 3: Cross multiply
    1,389.65x = 2,084.42 × 567.94
  4. Step 4: Simplify right side
    1,389.65x = 1,183,825.49
  5. Step 5: Solve for x
    x = 1,183,825.49/1,389.65
  6. Step 6: Final answer
    x = 851.89

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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.