Home / 1,112.51-1,669.19-463.07

Finding the Fourth Proportional to 1,112.51, 1,669.19 and 463.07

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Solution

The fourth proportional to 1,112.51, 1,669.19 and 463.07 is: 694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.51 : 1,669.19 = 463.07 : x
  2. Step 2: Convert to fraction form
    1,112.51/1,669.19 = 463.07/x
  3. Step 3: Cross multiply
    1,112.51x = 1,669.19 × 463.07
  4. Step 4: Simplify right side
    1,112.51x = 772,941.15
  5. Step 5: Solve for x
    x = 772,941.15/1,112.51
  6. Step 6: Final answer
    x = 694.78

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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.