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Finding the Fourth Proportional to 647.24, 893.13 and 381.63

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Solution

The fourth proportional to 647.24, 893.13 and 381.63 is: 526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 893.13 = 381.63 : x
  2. Step 2: Convert to fraction form
    647.24/893.13 = 381.63/x
  3. Step 3: Cross multiply
    647.24x = 893.13 × 381.63
  4. Step 4: Simplify right side
    647.24x = 340,845.20
  5. Step 5: Solve for x
    x = 340,845.20/647.24
  6. Step 6: Final answer
    x = 526.61

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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.