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Finding the Fourth Proportional to 811.50, 1,118.55 and 634.15

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Solution

The fourth proportional to 811.50, 1,118.55 and 634.15 is: 874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.50 : 1,118.55 = 634.15 : x
  2. Step 2: Convert to fraction form
    811.50/1,118.55 = 634.15/x
  3. Step 3: Cross multiply
    811.50x = 1,118.55 × 634.15
  4. Step 4: Simplify right side
    811.50x = 709,319.72
  5. Step 5: Solve for x
    x = 709,319.72/811.50
  6. Step 6: Final answer
    x = 874.09

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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.