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Finding the Fourth Proportional to 897.98, 1,339.44 and 884.30

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Solution

The fourth proportional to 897.98, 1,339.44 and 884.30 is: 1,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.98 : 1,339.44 = 884.30 : x
  2. Step 2: Convert to fraction form
    897.98/1,339.44 = 884.30/x
  3. Step 3: Cross multiply
    897.98x = 1,339.44 × 884.30
  4. Step 4: Simplify right side
    897.98x = 1,184,460.09
  5. Step 5: Solve for x
    x = 1,184,460.09/897.98
  6. Step 6: Final answer
    x = 1,319.03

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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.