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Finding the Fourth Proportional to 1,314.97, 1,971.29 and 492.67

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Solution

The fourth proportional to 1,314.97, 1,971.29 and 492.67 is: 738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.97 : 1,971.29 = 492.67 : x
  2. Step 2: Convert to fraction form
    1,314.97/1,971.29 = 492.67/x
  3. Step 3: Cross multiply
    1,314.97x = 1,971.29 × 492.67
  4. Step 4: Simplify right side
    1,314.97x = 971,185.28
  5. Step 5: Solve for x
    x = 971,185.28/1,314.97
  6. Step 6: Final answer
    x = 738.56

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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.