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Finding the Fourth Proportional to 657.68, 908.04 and 433.84

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Solution

The fourth proportional to 657.68, 908.04 and 433.84 is: 598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 908.04 = 433.84 : x
  2. Step 2: Convert to fraction form
    657.68/908.04 = 433.84/x
  3. Step 3: Cross multiply
    657.68x = 908.04 × 433.84
  4. Step 4: Simplify right side
    657.68x = 393,944.07
  5. Step 5: Solve for x
    x = 393,944.07/657.68
  6. Step 6: Final answer
    x = 598.99

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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.