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Finding the Fourth Proportional to 871.98, 1,203.43 and 499.00

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Solution

The fourth proportional to 871.98, 1,203.43 and 499.00 is: 688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.98 : 1,203.43 = 499.00 : x
  2. Step 2: Convert to fraction form
    871.98/1,203.43 = 499.00/x
  3. Step 3: Cross multiply
    871.98x = 1,203.43 × 499.00
  4. Step 4: Simplify right side
    871.98x = 600,507.31
  5. Step 5: Solve for x
    x = 600,507.31/871.98
  6. Step 6: Final answer
    x = 688.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.