Home / 1,113.48-1,669.95-464.22

Finding the Fourth Proportional to 1,113.48, 1,669.95 and 464.22

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Solution

The fourth proportional to 1,113.48, 1,669.95 and 464.22 is: 696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.48 : 1,669.95 = 464.22 : x
  2. Step 2: Convert to fraction form
    1,113.48/1,669.95 = 464.22/x
  3. Step 3: Cross multiply
    1,113.48x = 1,669.95 × 464.22
  4. Step 4: Simplify right side
    1,113.48x = 775,224.19
  5. Step 5: Solve for x
    x = 775,224.19/1,113.48
  6. Step 6: Final answer
    x = 696.22

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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.