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Finding the Fourth Proportional to 880.50, 1,214.71 and 810.55

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Solution

The fourth proportional to 880.50, 1,214.71 and 810.55 is: 1,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.50 : 1,214.71 = 810.55 : x
  2. Step 2: Convert to fraction form
    880.50/1,214.71 = 810.55/x
  3. Step 3: Cross multiply
    880.50x = 1,214.71 × 810.55
  4. Step 4: Simplify right side
    880.50x = 984,583.19
  5. Step 5: Solve for x
    x = 984,583.19/880.50
  6. Step 6: Final answer
    x = 1,118.21

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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.