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Finding the Fourth Proportional to 452.50, 674.64 and 424.96

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Solution

The fourth proportional to 452.50, 674.64 and 424.96 is: 633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.50 : 674.64 = 424.96 : x
  2. Step 2: Convert to fraction form
    452.50/674.64 = 424.96/x
  3. Step 3: Cross multiply
    452.50x = 674.64 × 424.96
  4. Step 4: Simplify right side
    452.50x = 286,695.01
  5. Step 5: Solve for x
    x = 286,695.01/452.50
  6. Step 6: Final answer
    x = 633.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.