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Finding the Fourth Proportional to 1,438.55, 2,158.68 and 605.55

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Solution

The fourth proportional to 1,438.55, 2,158.68 and 605.55 is: 908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.55 : 2,158.68 = 605.55 : x
  2. Step 2: Convert to fraction form
    1,438.55/2,158.68 = 605.55/x
  3. Step 3: Cross multiply
    1,438.55x = 2,158.68 × 605.55
  4. Step 4: Simplify right side
    1,438.55x = 1,307,188.67
  5. Step 5: Solve for x
    x = 1,307,188.67/1,438.55
  6. Step 6: Final answer
    x = 908.68

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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.