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Finding the Fourth Proportional to 657.16, 993.18 and 645.82

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Solution

The fourth proportional to 657.16, 993.18 and 645.82 is: 976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.16 : 993.18 = 645.82 : x
  2. Step 2: Convert to fraction form
    657.16/993.18 = 645.82/x
  3. Step 3: Cross multiply
    657.16x = 993.18 × 645.82
  4. Step 4: Simplify right side
    657.16x = 641,415.51
  5. Step 5: Solve for x
    x = 641,415.51/657.16
  6. Step 6: Final answer
    x = 976.04

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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.