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Finding the Fourth Proportional to 739.99, 1,021.11 and 420.95

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Solution

The fourth proportional to 739.99, 1,021.11 and 420.95 is: 580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.99 : 1,021.11 = 420.95 : x
  2. Step 2: Convert to fraction form
    739.99/1,021.11 = 420.95/x
  3. Step 3: Cross multiply
    739.99x = 1,021.11 × 420.95
  4. Step 4: Simplify right side
    739.99x = 429,831.48
  5. Step 5: Solve for x
    x = 429,831.48/739.99
  6. Step 6: Final answer
    x = 580.86

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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.