Home / 1,564.10-2,344.63-589.97

Finding the Fourth Proportional to 1,564.10, 2,344.63 and 589.97

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Solution

The fourth proportional to 1,564.10, 2,344.63 and 589.97 is: 884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.10 : 2,344.63 = 589.97 : x
  2. Step 2: Convert to fraction form
    1,564.10/2,344.63 = 589.97/x
  3. Step 3: Cross multiply
    1,564.10x = 2,344.63 × 589.97
  4. Step 4: Simplify right side
    1,564.10x = 1,383,261.36
  5. Step 5: Solve for x
    x = 1,383,261.36/1,564.10
  6. Step 6: Final answer
    x = 884.38

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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.