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Finding the Fourth Proportional to 898.44, 1,356.35 and 893.56

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Solution

The fourth proportional to 898.44, 1,356.35 and 893.56 is: 1,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.44 : 1,356.35 = 893.56 : x
  2. Step 2: Convert to fraction form
    898.44/1,356.35 = 893.56/x
  3. Step 3: Cross multiply
    898.44x = 1,356.35 × 893.56
  4. Step 4: Simplify right side
    898.44x = 1,211,980.11
  5. Step 5: Solve for x
    x = 1,211,980.11/898.44
  6. Step 6: Final answer
    x = 1,348.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.