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Finding the Fourth Proportional to 676.44, 931.40 and 648.78

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Solution

The fourth proportional to 676.44, 931.40 and 648.78 is: 893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.44 : 931.40 = 648.78 : x
  2. Step 2: Convert to fraction form
    676.44/931.40 = 648.78/x
  3. Step 3: Cross multiply
    676.44x = 931.40 × 648.78
  4. Step 4: Simplify right side
    676.44x = 604,273.69
  5. Step 5: Solve for x
    x = 604,273.69/676.44
  6. Step 6: Final answer
    x = 893.31

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1.5x scale

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.