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Finding the Fourth Proportional to 671.42, 1,007.31 and 260.57

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Solution

The fourth proportional to 671.42, 1,007.31 and 260.57 is: 390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 1,007.31 = 260.57 : x
  2. Step 2: Convert to fraction form
    671.42/1,007.31 = 260.57/x
  3. Step 3: Cross multiply
    671.42x = 1,007.31 × 260.57
  4. Step 4: Simplify right side
    671.42x = 262,474.77
  5. Step 5: Solve for x
    x = 262,474.77/671.42
  6. Step 6: Final answer
    x = 390.92

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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.