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Finding the Fourth Proportional to 871.77, 1,203.12 and 498.67

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Solution

The fourth proportional to 871.77, 1,203.12 and 498.67 is: 688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.77 : 1,203.12 = 498.67 : x
  2. Step 2: Convert to fraction form
    871.77/1,203.12 = 498.67/x
  3. Step 3: Cross multiply
    871.77x = 1,203.12 × 498.67
  4. Step 4: Simplify right side
    871.77x = 599,963.48
  5. Step 5: Solve for x
    x = 599,963.48/871.77
  6. Step 6: Final answer
    x = 688.22

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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.