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Finding the Fourth Proportional to 725,413.32, 1,087,978.28 and 689,406.64

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Solution

The fourth proportional to 725,413.32, 1,087,978.28 and 689,406.64 is: 1,033,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,413.32 : 1,087,978.28 = 689,406.64 : x
  2. Step 2: Convert to fraction form
    725,413.32/1,087,978.28 = 689,406.64/x
  3. Step 3: Cross multiply
    725,413.32x = 1,087,978.28 × 689,406.64
  4. Step 4: Simplify right side
    725,413.32x = 750,059,454,238.59
  5. Step 5: Solve for x
    x = 750,059,454,238.59/725,413.32
  6. Step 6: Final answer
    x = 1,033,975.30

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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.