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Finding the Fourth Proportional to 1,440.98, 2,157.32 and 746

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Solution

The fourth proportional to 1,440.98, 2,157.32 and 746 is: 1,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.98 : 2,157.32 = 746 : x
  2. Step 2: Convert to fraction form
    1,440.98/2,157.32 = 746/x
  3. Step 3: Cross multiply
    1,440.98x = 2,157.32 × 746
  4. Step 4: Simplify right side
    1,440.98x = 1,609,356.99
  5. Step 5: Solve for x
    x = 1,609,356.99/1,440.98
  6. Step 6: Final answer
    x = 1,116.85

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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.