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Finding the Fourth Proportional to 897.18, 1,236.76 and 880.80

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Solution

The fourth proportional to 897.18, 1,236.76 and 880.80 is: 1,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.18 : 1,236.76 = 880.80 : x
  2. Step 2: Convert to fraction form
    897.18/1,236.76 = 880.80/x
  3. Step 3: Cross multiply
    897.18x = 1,236.76 × 880.80
  4. Step 4: Simplify right side
    897.18x = 1,089,338.21
  5. Step 5: Solve for x
    x = 1,089,338.21/897.18
  6. Step 6: Final answer
    x = 1,214.18

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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.