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Finding the Fourth Proportional to 472.68, 648.93 and 460.62

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Solution

The fourth proportional to 472.68, 648.93 and 460.62 is: 632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.68 : 648.93 = 460.62 : x
  2. Step 2: Convert to fraction form
    472.68/648.93 = 460.62/x
  3. Step 3: Cross multiply
    472.68x = 648.93 × 460.62
  4. Step 4: Simplify right side
    472.68x = 298,910.14
  5. Step 5: Solve for x
    x = 298,910.14/472.68
  6. Step 6: Final answer
    x = 632.37

Related Problems

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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.