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Finding the Fourth Proportional to 657.75, 907.27 and 395.71

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Solution

The fourth proportional to 657.75, 907.27 and 395.71 is: 545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 907.27 = 395.71 : x
  2. Step 2: Convert to fraction form
    657.75/907.27 = 395.71/x
  3. Step 3: Cross multiply
    657.75x = 907.27 × 395.71
  4. Step 4: Simplify right side
    657.75x = 359,015.81
  5. Step 5: Solve for x
    x = 359,015.81/657.75
  6. Step 6: Final answer
    x = 545.82

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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.