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Finding the Fourth Proportional to 993.06, 1,370.93 and 594.95

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Solution

The fourth proportional to 993.06, 1,370.93 and 594.95 is: 821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.06 : 1,370.93 = 594.95 : x
  2. Step 2: Convert to fraction form
    993.06/1,370.93 = 594.95/x
  3. Step 3: Cross multiply
    993.06x = 1,370.93 × 594.95
  4. Step 4: Simplify right side
    993.06x = 815,624.97
  5. Step 5: Solve for x
    x = 815,624.97/993.06
  6. Step 6: Final answer
    x = 821.32

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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.