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Finding the Fourth Proportional to 999.06, 1,498.88 and 405.77

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Solution

The fourth proportional to 999.06, 1,498.88 and 405.77 is: 608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.06 : 1,498.88 = 405.77 : x
  2. Step 2: Convert to fraction form
    999.06/1,498.88 = 405.77/x
  3. Step 3: Cross multiply
    999.06x = 1,498.88 × 405.77
  4. Step 4: Simplify right side
    999.06x = 608,200.54
  5. Step 5: Solve for x
    x = 608,200.54/999.06
  6. Step 6: Final answer
    x = 608.77

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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.