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Finding the Fourth Proportional to 657.74, 907.05 and 421.28

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Solution

The fourth proportional to 657.74, 907.05 and 421.28 is: 580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.74 : 907.05 = 421.28 : x
  2. Step 2: Convert to fraction form
    657.74/907.05 = 421.28/x
  3. Step 3: Cross multiply
    657.74x = 907.05 × 421.28
  4. Step 4: Simplify right side
    657.74x = 382,122.02
  5. Step 5: Solve for x
    x = 382,122.02/657.74
  6. Step 6: Final answer
    x = 580.96

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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.