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Finding the Fourth Proportional to 1,759.81, 2,639.34 and 589.90

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Solution

The fourth proportional to 1,759.81, 2,639.34 and 589.90 is: 884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.81 : 2,639.34 = 589.90 : x
  2. Step 2: Convert to fraction form
    1,759.81/2,639.34 = 589.90/x
  3. Step 3: Cross multiply
    1,759.81x = 2,639.34 × 589.90
  4. Step 4: Simplify right side
    1,759.81x = 1,556,946.67
  5. Step 5: Solve for x
    x = 1,556,946.67/1,759.81
  6. Step 6: Final answer
    x = 884.72

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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.