Home / 1,314.19-1,971.59-448.50

Finding the Fourth Proportional to 1,314.19, 1,971.59 and 448.50

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Solution

The fourth proportional to 1,314.19, 1,971.59 and 448.50 is: 672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.19 : 1,971.59 = 448.50 : x
  2. Step 2: Convert to fraction form
    1,314.19/1,971.59 = 448.50/x
  3. Step 3: Cross multiply
    1,314.19x = 1,971.59 × 448.50
  4. Step 4: Simplify right side
    1,314.19x = 884,258.12
  5. Step 5: Solve for x
    x = 884,258.12/1,314.19
  6. Step 6: Final answer
    x = 672.85

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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.