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Finding the Fourth Proportional to 523.93, 784.27 and 420.05

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Solution

The fourth proportional to 523.93, 784.27 and 420.05 is: 628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.93 : 784.27 = 420.05 : x
  2. Step 2: Convert to fraction form
    523.93/784.27 = 420.05/x
  3. Step 3: Cross multiply
    523.93x = 784.27 × 420.05
  4. Step 4: Simplify right side
    523.93x = 329,429.22
  5. Step 5: Solve for x
    x = 329,429.22/523.93
  6. Step 6: Final answer
    x = 628.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.