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Finding the Fourth Proportional to 523.61, 784.80 and 421.01

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Solution

The fourth proportional to 523.61, 784.80 and 421.01 is: 631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.61 : 784.80 = 421.01 : x
  2. Step 2: Convert to fraction form
    523.61/784.80 = 421.01/x
  3. Step 3: Cross multiply
    523.61x = 784.80 × 421.01
  4. Step 4: Simplify right side
    523.61x = 330,404.72
  5. Step 5: Solve for x
    x = 330,404.72/523.61
  6. Step 6: Final answer
    x = 631.02

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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.