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Finding the Fourth Proportional to 657.33, 907.05 and 405.22

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Solution

The fourth proportional to 657.33, 907.05 and 405.22 is: 559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.33 : 907.05 = 405.22 : x
  2. Step 2: Convert to fraction form
    657.33/907.05 = 405.22/x
  3. Step 3: Cross multiply
    657.33x = 907.05 × 405.22
  4. Step 4: Simplify right side
    657.33x = 367,548.24
  5. Step 5: Solve for x
    x = 367,548.24/657.33
  6. Step 6: Final answer
    x = 559.16

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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.