Home / 1,113.19-1,669.80-463.78

Finding the Fourth Proportional to 1,113.19, 1,669.80 and 463.78

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Solution

The fourth proportional to 1,113.19, 1,669.80 and 463.78 is: 695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.19 : 1,669.80 = 463.78 : x
  2. Step 2: Convert to fraction form
    1,113.19/1,669.80 = 463.78/x
  3. Step 3: Cross multiply
    1,113.19x = 1,669.80 × 463.78
  4. Step 4: Simplify right side
    1,113.19x = 774,419.84
  5. Step 5: Solve for x
    x = 774,419.84/1,113.19
  6. Step 6: Final answer
    x = 695.68

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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.