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Finding the Fourth Proportional to 659.03, 908.99 and 406.95

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Solution

The fourth proportional to 659.03, 908.99 and 406.95 is: 561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.03 : 908.99 = 406.95 : x
  2. Step 2: Convert to fraction form
    659.03/908.99 = 406.95/x
  3. Step 3: Cross multiply
    659.03x = 908.99 × 406.95
  4. Step 4: Simplify right side
    659.03x = 369,916.01
  5. Step 5: Solve for x
    x = 369,916.01/659.03
  6. Step 6: Final answer
    x = 561.30

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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.