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Finding the Fourth Proportional to 999.98, 1,500.43 and 383.48

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Solution

The fourth proportional to 999.98, 1,500.43 and 383.48 is: 575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.98 : 1,500.43 = 383.48 : x
  2. Step 2: Convert to fraction form
    999.98/1,500.43 = 383.48/x
  3. Step 3: Cross multiply
    999.98x = 1,500.43 × 383.48
  4. Step 4: Simplify right side
    999.98x = 575,384.90
  5. Step 5: Solve for x
    x = 575,384.90/999.98
  6. Step 6: Final answer
    x = 575.40

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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.