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Finding the Fourth Proportional to 488.00, 734.90 and 406.51

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Solution

The fourth proportional to 488.00, 734.90 and 406.51 is: 612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.00 : 734.90 = 406.51 : x
  2. Step 2: Convert to fraction form
    488.00/734.90 = 406.51/x
  3. Step 3: Cross multiply
    488.00x = 734.90 × 406.51
  4. Step 4: Simplify right side
    488.00x = 298,740.33
  5. Step 5: Solve for x
    x = 298,740.33/488.00
  6. Step 6: Final answer
    x = 612.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.