Home / 1,197.18-1,795.07-465.90

Finding the Fourth Proportional to 1,197.18, 1,795.07 and 465.90

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Solution

The fourth proportional to 1,197.18, 1,795.07 and 465.90 is: 698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.18 : 1,795.07 = 465.90 : x
  2. Step 2: Convert to fraction form
    1,197.18/1,795.07 = 465.90/x
  3. Step 3: Cross multiply
    1,197.18x = 1,795.07 × 465.90
  4. Step 4: Simplify right side
    1,197.18x = 836,317.55
  5. Step 5: Solve for x
    x = 836,317.55/1,197.18
  6. Step 6: Final answer
    x = 698.57

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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.