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Finding the Fourth Proportional to 485.98, 728.96 and 417.94

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Solution

The fourth proportional to 485.98, 728.96 and 417.94 is: 626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.98 : 728.96 = 417.94 : x
  2. Step 2: Convert to fraction form
    485.98/728.96 = 417.94/x
  3. Step 3: Cross multiply
    485.98x = 728.96 × 417.94
  4. Step 4: Simplify right side
    485.98x = 304,661.54
  5. Step 5: Solve for x
    x = 304,661.54/485.98
  6. Step 6: Final answer
    x = 626.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.