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Finding the Fourth Proportional to 993.88, 1,490.82 and 446.08

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Solution

The fourth proportional to 993.88, 1,490.82 and 446.08 is: 669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.88 : 1,490.82 = 446.08 : x
  2. Step 2: Convert to fraction form
    993.88/1,490.82 = 446.08/x
  3. Step 3: Cross multiply
    993.88x = 1,490.82 × 446.08
  4. Step 4: Simplify right side
    993.88x = 665,024.99
  5. Step 5: Solve for x
    x = 665,024.99/993.88
  6. Step 6: Final answer
    x = 669.12

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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.