Home / 1,205.04-1,806.48-435.36

Finding the Fourth Proportional to 1,205.04, 1,806.48 and 435.36

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Solution

The fourth proportional to 1,205.04, 1,806.48 and 435.36 is: 652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.04 : 1,806.48 = 435.36 : x
  2. Step 2: Convert to fraction form
    1,205.04/1,806.48 = 435.36/x
  3. Step 3: Cross multiply
    1,205.04x = 1,806.48 × 435.36
  4. Step 4: Simplify right side
    1,205.04x = 786,469.13
  5. Step 5: Solve for x
    x = 786,469.13/1,205.04
  6. Step 6: Final answer
    x = 652.65

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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.