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Finding the Fourth Proportional to 842.84, 1,264.28 and 257.93

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Solution

The fourth proportional to 842.84, 1,264.28 and 257.93 is: 386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.84 : 1,264.28 = 257.93 : x
  2. Step 2: Convert to fraction form
    842.84/1,264.28 = 257.93/x
  3. Step 3: Cross multiply
    842.84x = 1,264.28 × 257.93
  4. Step 4: Simplify right side
    842.84x = 326,099.98
  5. Step 5: Solve for x
    x = 326,099.98/842.84
  6. Step 6: Final answer
    x = 386.90

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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.