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Finding the Fourth Proportional to 467.84, 646.26 and 374.72

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Solution

The fourth proportional to 467.84, 646.26 and 374.72 is: 517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.84 : 646.26 = 374.72 : x
  2. Step 2: Convert to fraction form
    467.84/646.26 = 374.72/x
  3. Step 3: Cross multiply
    467.84x = 646.26 × 374.72
  4. Step 4: Simplify right side
    467.84x = 242,166.55
  5. Step 5: Solve for x
    x = 242,166.55/467.84
  6. Step 6: Final answer
    x = 517.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.