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Finding the Fourth Proportional to 1,759.34, 2,639.43 and 589.35

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Solution

The fourth proportional to 1,759.34, 2,639.43 and 589.35 is: 884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.34 : 2,639.43 = 589.35 : x
  2. Step 2: Convert to fraction form
    1,759.34/2,639.43 = 589.35/x
  3. Step 3: Cross multiply
    1,759.34x = 2,639.43 × 589.35
  4. Step 4: Simplify right side
    1,759.34x = 1,555,538.54
  5. Step 5: Solve for x
    x = 1,555,538.54/1,759.34
  6. Step 6: Final answer
    x = 884.16

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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.