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Finding the Fourth Proportional to 871.93, 1,308.24 and 384.64

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Solution

The fourth proportional to 871.93, 1,308.24 and 384.64 is: 577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.93 : 1,308.24 = 384.64 : x
  2. Step 2: Convert to fraction form
    871.93/1,308.24 = 384.64/x
  3. Step 3: Cross multiply
    871.93x = 1,308.24 × 384.64
  4. Step 4: Simplify right side
    871.93x = 503,201.43
  5. Step 5: Solve for x
    x = 503,201.43/871.93
  6. Step 6: Final answer
    x = 577.11

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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.