Home / 1,138.04-1,707.77-407.60

Finding the Fourth Proportional to 1,138.04, 1,707.77 and 407.60

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Solution

The fourth proportional to 1,138.04, 1,707.77 and 407.60 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.04 : 1,707.77 = 407.60 : x
  2. Step 2: Convert to fraction form
    1,138.04/1,707.77 = 407.60/x
  3. Step 3: Cross multiply
    1,138.04x = 1,707.77 × 407.60
  4. Step 4: Simplify right side
    1,138.04x = 696,087.05
  5. Step 5: Solve for x
    x = 696,087.05/1,138.04
  6. Step 6: Final answer
    x = 611.65

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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.