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Finding the Fourth Proportional to 898.08, 1,236.24 and 781.44

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Solution

The fourth proportional to 898.08, 1,236.24 and 781.44 is: 1,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.08 : 1,236.24 = 781.44 : x
  2. Step 2: Convert to fraction form
    898.08/1,236.24 = 781.44/x
  3. Step 3: Cross multiply
    898.08x = 1,236.24 × 781.44
  4. Step 4: Simplify right side
    898.08x = 966,047.39
  5. Step 5: Solve for x
    x = 966,047.39/898.08
  6. Step 6: Final answer
    x = 1,075.68

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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.