Home / 1,438.04-2,157.74-514.31

Finding the Fourth Proportional to 1,438.04, 2,157.74 and 514.31

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Solution

The fourth proportional to 1,438.04, 2,157.74 and 514.31 is: 771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.04 : 2,157.74 = 514.31 : x
  2. Step 2: Convert to fraction form
    1,438.04/2,157.74 = 514.31/x
  3. Step 3: Cross multiply
    1,438.04x = 2,157.74 × 514.31
  4. Step 4: Simplify right side
    1,438.04x = 1,109,733.90
  5. Step 5: Solve for x
    x = 1,109,733.90/1,438.04
  6. Step 6: Final answer
    x = 771.70

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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.