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Finding the Fourth Proportional to 647.22, 893.36 and 414.35

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Solution

The fourth proportional to 647.22, 893.36 and 414.35 is: 571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.22 : 893.36 = 414.35 : x
  2. Step 2: Convert to fraction form
    647.22/893.36 = 414.35/x
  3. Step 3: Cross multiply
    647.22x = 893.36 × 414.35
  4. Step 4: Simplify right side
    647.22x = 370,157.18
  5. Step 5: Solve for x
    x = 370,157.18/647.22
  6. Step 6: Final answer
    x = 571.92

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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.