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Finding the Fourth Proportional to 1,438.34, 2,159.13 and 573.26

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Solution

The fourth proportional to 1,438.34, 2,159.13 and 573.26 is: 860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.34 : 2,159.13 = 573.26 : x
  2. Step 2: Convert to fraction form
    1,438.34/2,159.13 = 573.26/x
  3. Step 3: Cross multiply
    1,438.34x = 2,159.13 × 573.26
  4. Step 4: Simplify right side
    1,438.34x = 1,237,742.86
  5. Step 5: Solve for x
    x = 1,237,742.86/1,438.34
  6. Step 6: Final answer
    x = 860.54

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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.