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Finding the Fourth Proportional to 1,172.93, 1,759.65 and 392.95

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Solution

The fourth proportional to 1,172.93, 1,759.65 and 392.95 is: 589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.93 : 1,759.65 = 392.95 : x
  2. Step 2: Convert to fraction form
    1,172.93/1,759.65 = 392.95/x
  3. Step 3: Cross multiply
    1,172.93x = 1,759.65 × 392.95
  4. Step 4: Simplify right side
    1,172.93x = 691,452.50
  5. Step 5: Solve for x
    x = 691,452.50/1,172.93
  6. Step 6: Final answer
    x = 589.51

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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.