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Finding the Fourth Proportional to 999.03, 1,498.01 and 421.77

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Solution

The fourth proportional to 999.03, 1,498.01 and 421.77 is: 632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.03 : 1,498.01 = 421.77 : x
  2. Step 2: Convert to fraction form
    999.03/1,498.01 = 421.77/x
  3. Step 3: Cross multiply
    999.03x = 1,498.01 × 421.77
  4. Step 4: Simplify right side
    999.03x = 631,813.57
  5. Step 5: Solve for x
    x = 631,813.57/999.03
  6. Step 6: Final answer
    x = 632.43

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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.