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Finding the Fourth Proportional to 835.17, 1,152.99 and 657.78

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Solution

The fourth proportional to 835.17, 1,152.99 and 657.78 is: 908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.17 : 1,152.99 = 657.78 : x
  2. Step 2: Convert to fraction form
    835.17/1,152.99 = 657.78/x
  3. Step 3: Cross multiply
    835.17x = 1,152.99 × 657.78
  4. Step 4: Simplify right side
    835.17x = 758,413.76
  5. Step 5: Solve for x
    x = 758,413.76/835.17
  6. Step 6: Final answer
    x = 908.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.