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Finding the Fourth Proportional to 485.09, 723.92 and 433.19

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Solution

The fourth proportional to 485.09, 723.92 and 433.19 is: 646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.09 : 723.92 = 433.19 : x
  2. Step 2: Convert to fraction form
    485.09/723.92 = 433.19/x
  3. Step 3: Cross multiply
    485.09x = 723.92 × 433.19
  4. Step 4: Simplify right side
    485.09x = 313,595.91
  5. Step 5: Solve for x
    x = 313,595.91/485.09
  6. Step 6: Final answer
    x = 646.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.