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Finding the Fourth Proportional to 505.02, 694.93 and 421.86

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Solution

The fourth proportional to 505.02, 694.93 and 421.86 is: 580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.02 : 694.93 = 421.86 : x
  2. Step 2: Convert to fraction form
    505.02/694.93 = 421.86/x
  3. Step 3: Cross multiply
    505.02x = 694.93 × 421.86
  4. Step 4: Simplify right side
    505.02x = 293,163.17
  5. Step 5: Solve for x
    x = 293,163.17/505.02
  6. Step 6: Final answer
    x = 580.50

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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.