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Finding the Fourth Proportional to 1,438.95, 2,158.02 and 398.70

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Solution

The fourth proportional to 1,438.95, 2,158.02 and 398.70 is: 597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.95 : 2,158.02 = 398.70 : x
  2. Step 2: Convert to fraction form
    1,438.95/2,158.02 = 398.70/x
  3. Step 3: Cross multiply
    1,438.95x = 2,158.02 × 398.70
  4. Step 4: Simplify right side
    1,438.95x = 860,402.57
  5. Step 5: Solve for x
    x = 860,402.57/1,438.95
  6. Step 6: Final answer
    x = 597.94

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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.