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Finding the Fourth Proportional to 897.88, 1,338.53 and 883.84

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Solution

The fourth proportional to 897.88, 1,338.53 and 883.84 is: 1,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.88 : 1,338.53 = 883.84 : x
  2. Step 2: Convert to fraction form
    897.88/1,338.53 = 883.84/x
  3. Step 3: Cross multiply
    897.88x = 1,338.53 × 883.84
  4. Step 4: Simplify right side
    897.88x = 1,183,046.36
  5. Step 5: Solve for x
    x = 1,183,046.36/897.88
  6. Step 6: Final answer
    x = 1,317.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.