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Finding the Fourth Proportional to 1,438.71, 2,158.64 and 573.63

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Solution

The fourth proportional to 1,438.71, 2,158.64 and 573.63 is: 860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.71 : 2,158.64 = 573.63 : x
  2. Step 2: Convert to fraction form
    1,438.71/2,158.64 = 573.63/x
  3. Step 3: Cross multiply
    1,438.71x = 2,158.64 × 573.63
  4. Step 4: Simplify right side
    1,438.71x = 1,238,257.80
  5. Step 5: Solve for x
    x = 1,238,257.80/1,438.71
  6. Step 6: Final answer
    x = 860.67

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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.