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Finding the Fourth Proportional to 453.10, 678.82 and 421.50

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Solution

The fourth proportional to 453.10, 678.82 and 421.50 is: 631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.10 : 678.82 = 421.50 : x
  2. Step 2: Convert to fraction form
    453.10/678.82 = 421.50/x
  3. Step 3: Cross multiply
    453.10x = 678.82 × 421.50
  4. Step 4: Simplify right side
    453.10x = 286,122.63
  5. Step 5: Solve for x
    x = 286,122.63/453.10
  6. Step 6: Final answer
    x = 631.48

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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.