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Finding the Fourth Proportional to 993.03, 1,489.01 and 415.77

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Solution

The fourth proportional to 993.03, 1,489.01 and 415.77 is: 623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.03 : 1,489.01 = 415.77 : x
  2. Step 2: Convert to fraction form
    993.03/1,489.01 = 415.77/x
  3. Step 3: Cross multiply
    993.03x = 1,489.01 × 415.77
  4. Step 4: Simplify right side
    993.03x = 619,083.61
  5. Step 5: Solve for x
    x = 619,083.61/993.03
  6. Step 6: Final answer
    x = 623.43

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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.