Home / 1,157.90-1,736.84-464.94

Finding the Fourth Proportional to 1,157.90, 1,736.84 and 464.94

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Solution

The fourth proportional to 1,157.90, 1,736.84 and 464.94 is: 697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.90 : 1,736.84 = 464.94 : x
  2. Step 2: Convert to fraction form
    1,157.90/1,736.84 = 464.94/x
  3. Step 3: Cross multiply
    1,157.90x = 1,736.84 × 464.94
  4. Step 4: Simplify right side
    1,157.90x = 807,527.55
  5. Step 5: Solve for x
    x = 807,527.55/1,157.90
  6. Step 6: Final answer
    x = 697.41

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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.