Home / 1,314.54-1,971.95-492.84

Finding the Fourth Proportional to 1,314.54, 1,971.95 and 492.84

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Solution

The fourth proportional to 1,314.54, 1,971.95 and 492.84 is: 739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.54 : 1,971.95 = 492.84 : x
  2. Step 2: Convert to fraction form
    1,314.54/1,971.95 = 492.84/x
  3. Step 3: Cross multiply
    1,314.54x = 1,971.95 × 492.84
  4. Step 4: Simplify right side
    1,314.54x = 971,853.37
  5. Step 5: Solve for x
    x = 971,853.37/1,314.54
  6. Step 6: Final answer
    x = 739.31

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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.