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Finding the Fourth Proportional to 657.33, 904.41 and 641.13

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Solution

The fourth proportional to 657.33, 904.41 and 641.13 is: 882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.33 : 904.41 = 641.13 : x
  2. Step 2: Convert to fraction form
    657.33/904.41 = 641.13/x
  3. Step 3: Cross multiply
    657.33x = 904.41 × 641.13
  4. Step 4: Simplify right side
    657.33x = 579,844.38
  5. Step 5: Solve for x
    x = 579,844.38/657.33
  6. Step 6: Final answer
    x = 882.12

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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.