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Finding the Fourth Proportional to 993.07, 1,370.46 and 644.35

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Solution

The fourth proportional to 993.07, 1,370.46 and 644.35 is: 889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.07 : 1,370.46 = 644.35 : x
  2. Step 2: Convert to fraction form
    993.07/1,370.46 = 644.35/x
  3. Step 3: Cross multiply
    993.07x = 1,370.46 × 644.35
  4. Step 4: Simplify right side
    993.07x = 883,055.90
  5. Step 5: Solve for x
    x = 883,055.90/993.07
  6. Step 6: Final answer
    x = 889.22

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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.