Home / 1,314.64-1,971.55-448.75

Finding the Fourth Proportional to 1,314.64, 1,971.55 and 448.75

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Solution

The fourth proportional to 1,314.64, 1,971.55 and 448.75 is: 672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.64 : 1,971.55 = 448.75 : x
  2. Step 2: Convert to fraction form
    1,314.64/1,971.55 = 448.75/x
  3. Step 3: Cross multiply
    1,314.64x = 1,971.55 × 448.75
  4. Step 4: Simplify right side
    1,314.64x = 884,733.06
  5. Step 5: Solve for x
    x = 884,733.06/1,314.64
  6. Step 6: Final answer
    x = 672.99

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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.