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Finding the Fourth Proportional to 657.30, 907.26 and 421.34

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Solution

The fourth proportional to 657.30, 907.26 and 421.34 is: 581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 907.26 = 421.34 : x
  2. Step 2: Convert to fraction form
    657.30/907.26 = 421.34/x
  3. Step 3: Cross multiply
    657.30x = 907.26 × 421.34
  4. Step 4: Simplify right side
    657.30x = 382,265.60
  5. Step 5: Solve for x
    x = 382,265.60/657.30
  6. Step 6: Final answer
    x = 581.57

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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.