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Finding the Fourth Proportional to 835.61, 1,153.85 and 587.48

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Solution

The fourth proportional to 835.61, 1,153.85 and 587.48 is: 811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.61 : 1,153.85 = 587.48 : x
  2. Step 2: Convert to fraction form
    835.61/1,153.85 = 587.48/x
  3. Step 3: Cross multiply
    835.61x = 1,153.85 × 587.48
  4. Step 4: Simplify right side
    835.61x = 677,855.09
  5. Step 5: Solve for x
    x = 677,855.09/835.61
  6. Step 6: Final answer
    x = 811.21

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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.