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Finding the Fourth Proportional to 1,309.37, 1,964.29 and 431.92

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Solution

The fourth proportional to 1,309.37, 1,964.29 and 431.92 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.37 : 1,964.29 = 431.92 : x
  2. Step 2: Convert to fraction form
    1,309.37/1,964.29 = 431.92/x
  3. Step 3: Cross multiply
    1,309.37x = 1,964.29 × 431.92
  4. Step 4: Simplify right side
    1,309.37x = 848,413.98
  5. Step 5: Solve for x
    x = 848,413.98/1,309.37
  6. Step 6: Final answer
    x = 647.96

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1.5x scale

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.