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Finding the Fourth Proportional to 835.98, 1,154.43 and 640.77

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Solution

The fourth proportional to 835.98, 1,154.43 and 640.77 is: 884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.98 : 1,154.43 = 640.77 : x
  2. Step 2: Convert to fraction form
    835.98/1,154.43 = 640.77/x
  3. Step 3: Cross multiply
    835.98x = 1,154.43 × 640.77
  4. Step 4: Simplify right side
    835.98x = 739,724.11
  5. Step 5: Solve for x
    x = 739,724.11/835.98
  6. Step 6: Final answer
    x = 884.86

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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.