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Finding the Fourth Proportional to 453.64, 629.71 and 424.84

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Solution

The fourth proportional to 453.64, 629.71 and 424.84 is: 589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.64 : 629.71 = 424.84 : x
  2. Step 2: Convert to fraction form
    453.64/629.71 = 424.84/x
  3. Step 3: Cross multiply
    453.64x = 629.71 × 424.84
  4. Step 4: Simplify right side
    453.64x = 267,526.00
  5. Step 5: Solve for x
    x = 267,526.00/453.64
  6. Step 6: Final answer
    x = 589.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.