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Finding the Fourth Proportional to 832.53, 1,246.73 and 421.86

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Solution

The fourth proportional to 832.53, 1,246.73 and 421.86 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.53 : 1,246.73 = 421.86 : x
  2. Step 2: Convert to fraction form
    832.53/1,246.73 = 421.86/x
  3. Step 3: Cross multiply
    832.53x = 1,246.73 × 421.86
  4. Step 4: Simplify right side
    832.53x = 525,943.41
  5. Step 5: Solve for x
    x = 525,943.41/832.53
  6. Step 6: Final answer
    x = 631.74

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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.