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Finding the Fourth Proportional to 523.01, 784.41 and 420.90

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Solution

The fourth proportional to 523.01, 784.41 and 420.90 is: 631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.01 : 784.41 = 420.90 : x
  2. Step 2: Convert to fraction form
    523.01/784.41 = 420.90/x
  3. Step 3: Cross multiply
    523.01x = 784.41 × 420.90
  4. Step 4: Simplify right side
    523.01x = 330,158.17
  5. Step 5: Solve for x
    x = 330,158.17/523.01
  6. Step 6: Final answer
    x = 631.27

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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.