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Finding the Fourth Proportional to 515.85, 712.53 and 433.38

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Solution

The fourth proportional to 515.85, 712.53 and 433.38 is: 598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.85 : 712.53 = 433.38 : x
  2. Step 2: Convert to fraction form
    515.85/712.53 = 433.38/x
  3. Step 3: Cross multiply
    515.85x = 712.53 × 433.38
  4. Step 4: Simplify right side
    515.85x = 308,796.25
  5. Step 5: Solve for x
    x = 308,796.25/515.85
  6. Step 6: Final answer
    x = 598.62

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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.