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Finding the Fourth Proportional to 739.98, 1,019.43 and 621.72

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Solution

The fourth proportional to 739.98, 1,019.43 and 621.72 is: 856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.98 : 1,019.43 = 621.72 : x
  2. Step 2: Convert to fraction form
    739.98/1,019.43 = 621.72/x
  3. Step 3: Cross multiply
    739.98x = 1,019.43 × 621.72
  4. Step 4: Simplify right side
    739.98x = 633,800.02
  5. Step 5: Solve for x
    x = 633,800.02/739.98
  6. Step 6: Final answer
    x = 856.51

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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.