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Finding the Fourth Proportional to 537.42, 741.99 and 412.85

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Solution

The fourth proportional to 537.42, 741.99 and 412.85 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.42 : 741.99 = 412.85 : x
  2. Step 2: Convert to fraction form
    537.42/741.99 = 412.85/x
  3. Step 3: Cross multiply
    537.42x = 741.99 × 412.85
  4. Step 4: Simplify right side
    537.42x = 306,326.86
  5. Step 5: Solve for x
    x = 306,326.86/537.42
  6. Step 6: Final answer
    x = 570.00

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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.