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Finding the Fourth Proportional to 647.33, 893.21 and 367.58

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Solution

The fourth proportional to 647.33, 893.21 and 367.58 is: 507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.33 : 893.21 = 367.58 : x
  2. Step 2: Convert to fraction form
    647.33/893.21 = 367.58/x
  3. Step 3: Cross multiply
    647.33x = 893.21 × 367.58
  4. Step 4: Simplify right side
    647.33x = 328,323.86
  5. Step 5: Solve for x
    x = 328,323.86/647.33
  6. Step 6: Final answer
    x = 507.20

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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.