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Finding the Fourth Proportional to 485.70, 724.81 and 433.79

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Solution

The fourth proportional to 485.70, 724.81 and 433.79 is: 647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.70 : 724.81 = 433.79 : x
  2. Step 2: Convert to fraction form
    485.70/724.81 = 433.79/x
  3. Step 3: Cross multiply
    485.70x = 724.81 × 433.79
  4. Step 4: Simplify right side
    485.70x = 314,415.33
  5. Step 5: Solve for x
    x = 314,415.33/485.70
  6. Step 6: Final answer
    x = 647.34

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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.