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Finding the Fourth Proportional to 583.35, 875.49 and 408.90

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Solution

The fourth proportional to 583.35, 875.49 and 408.90 is: 613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.35 : 875.49 = 408.90 : x
  2. Step 2: Convert to fraction form
    583.35/875.49 = 408.90/x
  3. Step 3: Cross multiply
    583.35x = 875.49 × 408.90
  4. Step 4: Simplify right side
    583.35x = 357,987.86
  5. Step 5: Solve for x
    x = 357,987.86/583.35
  6. Step 6: Final answer
    x = 613.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.