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Finding the Fourth Proportional to 1,318.03, 1,817.34 and 898.63

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Solution

The fourth proportional to 1,318.03, 1,817.34 and 898.63 is: 1,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.03 : 1,817.34 = 898.63 : x
  2. Step 2: Convert to fraction form
    1,318.03/1,817.34 = 898.63/x
  3. Step 3: Cross multiply
    1,318.03x = 1,817.34 × 898.63
  4. Step 4: Simplify right side
    1,318.03x = 1,633,116.24
  5. Step 5: Solve for x
    x = 1,633,116.24/1,318.03
  6. Step 6: Final answer
    x = 1,239.06

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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.