Home / 1,314.85-1,971.46-492.70

Finding the Fourth Proportional to 1,314.85, 1,971.46 and 492.70

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Solution

The fourth proportional to 1,314.85, 1,971.46 and 492.70 is: 738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.85 : 1,971.46 = 492.70 : x
  2. Step 2: Convert to fraction form
    1,314.85/1,971.46 = 492.70/x
  3. Step 3: Cross multiply
    1,314.85x = 1,971.46 × 492.70
  4. Step 4: Simplify right side
    1,314.85x = 971,338.34
  5. Step 5: Solve for x
    x = 971,338.34/1,314.85
  6. Step 6: Final answer
    x = 738.74

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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.