Home / 1,113.40-1,669.44-463.80

Finding the Fourth Proportional to 1,113.40, 1,669.44 and 463.80

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Solution

The fourth proportional to 1,113.40, 1,669.44 and 463.80 is: 695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.40 : 1,669.44 = 463.80 : x
  2. Step 2: Convert to fraction form
    1,113.40/1,669.44 = 463.80/x
  3. Step 3: Cross multiply
    1,113.40x = 1,669.44 × 463.80
  4. Step 4: Simplify right side
    1,113.40x = 774,286.27
  5. Step 5: Solve for x
    x = 774,286.27/1,113.40
  6. Step 6: Final answer
    x = 695.43

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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.