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Finding the Fourth Proportional to 1,071.10, 1,598.90 and 990.94

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Solution

The fourth proportional to 1,071.10, 1,598.90 and 990.94 is: 1,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.10 : 1,598.90 = 990.94 : x
  2. Step 2: Convert to fraction form
    1,071.10/1,598.90 = 990.94/x
  3. Step 3: Cross multiply
    1,071.10x = 1,598.90 × 990.94
  4. Step 4: Simplify right side
    1,071.10x = 1,584,413.97
  5. Step 5: Solve for x
    x = 1,584,413.97/1,071.10
  6. Step 6: Final answer
    x = 1,479.24

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