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Finding the Fourth Proportional to 585.99, 808.50 and 408.75

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Solution

The fourth proportional to 585.99, 808.50 and 408.75 is: 563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.99 : 808.50 = 408.75 : x
  2. Step 2: Convert to fraction form
    585.99/808.50 = 408.75/x
  3. Step 3: Cross multiply
    585.99x = 808.50 × 408.75
  4. Step 4: Simplify right side
    585.99x = 330,474.38
  5. Step 5: Solve for x
    x = 330,474.38/585.99
  6. Step 6: Final answer
    x = 563.96

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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.