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Finding the Fourth Proportional to 1,439.01, 2,157.95 and 514.32

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Solution

The fourth proportional to 1,439.01, 2,157.95 and 514.32 is: 771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.01 : 2,157.95 = 514.32 : x
  2. Step 2: Convert to fraction form
    1,439.01/2,157.95 = 514.32/x
  3. Step 3: Cross multiply
    1,439.01x = 2,157.95 × 514.32
  4. Step 4: Simplify right side
    1,439.01x = 1,109,874.27
  5. Step 5: Solve for x
    x = 1,109,874.27/1,439.01
  6. Step 6: Final answer
    x = 771.28

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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.