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Finding the Fourth Proportional to 990.90, 1,485.36 and 469.98

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Solution

The fourth proportional to 990.90, 1,485.36 and 469.98 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.90 : 1,485.36 = 469.98 : x
  2. Step 2: Convert to fraction form
    990.90/1,485.36 = 469.98/x
  3. Step 3: Cross multiply
    990.90x = 1,485.36 × 469.98
  4. Step 4: Simplify right side
    990.90x = 698,089.49
  5. Step 5: Solve for x
    x = 698,089.49/990.90
  6. Step 6: Final answer
    x = 704.50

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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.