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Finding the Fourth Proportional to 515.48, 712.26 and 405.83

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Solution

The fourth proportional to 515.48, 712.26 and 405.83 is: 560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.48 : 712.26 = 405.83 : x
  2. Step 2: Convert to fraction form
    515.48/712.26 = 405.83/x
  3. Step 3: Cross multiply
    515.48x = 712.26 × 405.83
  4. Step 4: Simplify right side
    515.48x = 289,052.91
  5. Step 5: Solve for x
    x = 289,052.91/515.48
  6. Step 6: Final answer
    x = 560.75

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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.