Home / 1,413.52-2,120.28-591.65

Finding the Fourth Proportional to 1,413.52, 2,120.28 and 591.65

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Solution

The fourth proportional to 1,413.52, 2,120.28 and 591.65 is: 887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.52 : 2,120.28 = 591.65 : x
  2. Step 2: Convert to fraction form
    1,413.52/2,120.28 = 591.65/x
  3. Step 3: Cross multiply
    1,413.52x = 2,120.28 × 591.65
  4. Step 4: Simplify right side
    1,413.52x = 1,254,463.23
  5. Step 5: Solve for x
    x = 1,254,463.23/1,413.52
  6. Step 6: Final answer
    x = 887.47

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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.