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Finding the Fourth Proportional to 657.86, 907.95 and 422.07

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Solution

The fourth proportional to 657.86, 907.95 and 422.07 is: 582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.86 : 907.95 = 422.07 : x
  2. Step 2: Convert to fraction form
    657.86/907.95 = 422.07/x
  3. Step 3: Cross multiply
    657.86x = 907.95 × 422.07
  4. Step 4: Simplify right side
    657.86x = 383,221.92
  5. Step 5: Solve for x
    x = 383,221.92/657.86
  6. Step 6: Final answer
    x = 582.53

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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.