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Finding the Fourth Proportional to 647.30, 893.33 and 367.55

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Solution

The fourth proportional to 647.30, 893.33 and 367.55 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.30 : 893.33 = 367.55 : x
  2. Step 2: Convert to fraction form
    647.30/893.33 = 367.55/x
  3. Step 3: Cross multiply
    647.30x = 893.33 × 367.55
  4. Step 4: Simplify right side
    647.30x = 328,343.44
  5. Step 5: Solve for x
    x = 328,343.44/647.30
  6. Step 6: Final answer
    x = 507.25

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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.