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Finding the Fourth Proportional to 485.21, 724.06 and 433.29

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Solution

The fourth proportional to 485.21, 724.06 and 433.29 is: 646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.21 : 724.06 = 433.29 : x
  2. Step 2: Convert to fraction form
    485.21/724.06 = 433.29/x
  3. Step 3: Cross multiply
    485.21x = 724.06 × 433.29
  4. Step 4: Simplify right side
    485.21x = 313,727.96
  5. Step 5: Solve for x
    x = 313,727.96/485.21
  6. Step 6: Final answer
    x = 646.59

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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.