Home / 1,313.86-1,971.08-448.16

Finding the Fourth Proportional to 1,313.86, 1,971.08 and 448.16

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Solution

The fourth proportional to 1,313.86, 1,971.08 and 448.16 is: 672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.86 : 1,971.08 = 448.16 : x
  2. Step 2: Convert to fraction form
    1,313.86/1,971.08 = 448.16/x
  3. Step 3: Cross multiply
    1,313.86x = 1,971.08 × 448.16
  4. Step 4: Simplify right side
    1,313.86x = 883,356.97
  5. Step 5: Solve for x
    x = 883,356.97/1,313.86
  6. Step 6: Final answer
    x = 672.34

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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.