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Finding the Fourth Proportional to 990.46, 1,485.15 and 405.88

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Solution

The fourth proportional to 990.46, 1,485.15 and 405.88 is: 608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.46 : 1,485.15 = 405.88 : x
  2. Step 2: Convert to fraction form
    990.46/1,485.15 = 405.88/x
  3. Step 3: Cross multiply
    990.46x = 1,485.15 × 405.88
  4. Step 4: Simplify right side
    990.46x = 602,792.68
  5. Step 5: Solve for x
    x = 602,792.68/990.46
  6. Step 6: Final answer
    x = 608.60

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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.