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Finding the Fourth Proportional to 1,413.96, 1,952.97 and 1,040.40

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Solution

The fourth proportional to 1,413.96, 1,952.97 and 1,040.40 is: 1,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.96 : 1,952.97 = 1,040.40 : x
  2. Step 2: Convert to fraction form
    1,413.96/1,952.97 = 1,040.40/x
  3. Step 3: Cross multiply
    1,413.96x = 1,952.97 × 1,040.40
  4. Step 4: Simplify right side
    1,413.96x = 2,031,869.99
  5. Step 5: Solve for x
    x = 2,031,869.99/1,413.96
  6. Step 6: Final answer
    x = 1,437.01

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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.