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Finding the Fourth Proportional to 722.06, 1,077 and 605.15

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Solution

The fourth proportional to 722.06, 1,077 and 605.15 is: 902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.06 : 1,077 = 605.15 : x
  2. Step 2: Convert to fraction form
    722.06/1,077 = 605.15/x
  3. Step 3: Cross multiply
    722.06x = 1,077 × 605.15
  4. Step 4: Simplify right side
    722.06x = 651,741.17
  5. Step 5: Solve for x
    x = 651,741.17/722.06
  6. Step 6: Final answer
    x = 902.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.