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Finding the Fourth Proportional to 657.44, 981.64 and 579.79

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Solution

The fourth proportional to 657.44, 981.64 and 579.79 is: 865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.44 : 981.64 = 579.79 : x
  2. Step 2: Convert to fraction form
    657.44/981.64 = 579.79/x
  3. Step 3: Cross multiply
    657.44x = 981.64 × 579.79
  4. Step 4: Simplify right side
    657.44x = 569,137.25
  5. Step 5: Solve for x
    x = 569,137.25/657.44
  6. Step 6: Final answer
    x = 865.69

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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.