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Finding the Fourth Proportional to 464.60, 637.68 and 417.44

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Solution

The fourth proportional to 464.60, 637.68 and 417.44 is: 572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.60 : 637.68 = 417.44 : x
  2. Step 2: Convert to fraction form
    464.60/637.68 = 417.44/x
  3. Step 3: Cross multiply
    464.60x = 637.68 × 417.44
  4. Step 4: Simplify right side
    464.60x = 266,189.95
  5. Step 5: Solve for x
    x = 266,189.95/464.60
  6. Step 6: Final answer
    x = 572.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.