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Finding the Fourth Proportional to 648.60, 976.37 and 581.63

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Solution

The fourth proportional to 648.60, 976.37 and 581.63 is: 875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.60 : 976.37 = 581.63 : x
  2. Step 2: Convert to fraction form
    648.60/976.37 = 581.63/x
  3. Step 3: Cross multiply
    648.60x = 976.37 × 581.63
  4. Step 4: Simplify right side
    648.60x = 567,878.29
  5. Step 5: Solve for x
    x = 567,878.29/648.60
  6. Step 6: Final answer
    x = 875.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.