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Finding the Fourth Proportional to 647.83, 893.98 and 353.09

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Solution

The fourth proportional to 647.83, 893.98 and 353.09 is: 487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.83 : 893.98 = 353.09 : x
  2. Step 2: Convert to fraction form
    647.83/893.98 = 353.09/x
  3. Step 3: Cross multiply
    647.83x = 893.98 × 353.09
  4. Step 4: Simplify right side
    647.83x = 315,655.40
  5. Step 5: Solve for x
    x = 315,655.40/647.83
  6. Step 6: Final answer
    x = 487.25

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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.