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Finding the Fourth Proportional to 740.50, 1,022.03 and 441.77

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Solution

The fourth proportional to 740.50, 1,022.03 and 441.77 is: 609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.50 : 1,022.03 = 441.77 : x
  2. Step 2: Convert to fraction form
    740.50/1,022.03 = 441.77/x
  3. Step 3: Cross multiply
    740.50x = 1,022.03 × 441.77
  4. Step 4: Simplify right side
    740.50x = 451,502.28
  5. Step 5: Solve for x
    x = 451,502.28/740.50
  6. Step 6: Final answer
    x = 609.72

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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.