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Finding the Fourth Proportional to 1,413.18, 1,950.48 and 853.88

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Solution

The fourth proportional to 1,413.18, 1,950.48 and 853.88 is: 1,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.18 : 1,950.48 = 853.88 : x
  2. Step 2: Convert to fraction form
    1,413.18/1,950.48 = 853.88/x
  3. Step 3: Cross multiply
    1,413.18x = 1,950.48 × 853.88
  4. Step 4: Simplify right side
    1,413.18x = 1,665,466.11
  5. Step 5: Solve for x
    x = 1,665,466.11/1,413.18
  6. Step 6: Final answer
    x = 1,178.52

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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.