Home / 1,413.29-2,118.40-632.21

Finding the Fourth Proportional to 1,413.29, 2,118.40 and 632.21

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Solution

The fourth proportional to 1,413.29, 2,118.40 and 632.21 is: 947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.29 : 2,118.40 = 632.21 : x
  2. Step 2: Convert to fraction form
    1,413.29/2,118.40 = 632.21/x
  3. Step 3: Cross multiply
    1,413.29x = 2,118.40 × 632.21
  4. Step 4: Simplify right side
    1,413.29x = 1,339,261.49
  5. Step 5: Solve for x
    x = 1,339,261.49/1,413.29
  6. Step 6: Final answer
    x = 947.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.