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Finding the Fourth Proportional to 993.84, 1,370.04 and 890.16

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Solution

The fourth proportional to 993.84, 1,370.04 and 890.16 is: 1,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.84 : 1,370.04 = 890.16 : x
  2. Step 2: Convert to fraction form
    993.84/1,370.04 = 890.16/x
  3. Step 3: Cross multiply
    993.84x = 1,370.04 × 890.16
  4. Step 4: Simplify right side
    993.84x = 1,219,554.81
  5. Step 5: Solve for x
    x = 1,219,554.81/993.84
  6. Step 6: Final answer
    x = 1,227.11

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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.