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Finding the Fourth Proportional to 676.98, 1,009.76 and 656.48

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Solution

The fourth proportional to 676.98, 1,009.76 and 656.48 is: 979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.98 : 1,009.76 = 656.48 : x
  2. Step 2: Convert to fraction form
    676.98/1,009.76 = 656.48/x
  3. Step 3: Cross multiply
    676.98x = 1,009.76 × 656.48
  4. Step 4: Simplify right side
    676.98x = 662,886.49
  5. Step 5: Solve for x
    x = 662,886.49/676.98
  6. Step 6: Final answer
    x = 979.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.