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Finding the Fourth Proportional to 648.37, 893.84 and 508.34

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Solution

The fourth proportional to 648.37, 893.84 and 508.34 is: 700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.37 : 893.84 = 508.34 : x
  2. Step 2: Convert to fraction form
    648.37/893.84 = 508.34/x
  3. Step 3: Cross multiply
    648.37x = 893.84 × 508.34
  4. Step 4: Simplify right side
    648.37x = 454,374.32
  5. Step 5: Solve for x
    x = 454,374.32/648.37
  6. Step 6: Final answer
    x = 700.79

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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.