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Finding the Fourth Proportional to 472.60, 656.70 and 467.54

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Solution

The fourth proportional to 472.60, 656.70 and 467.54 is: 649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.60 : 656.70 = 467.54 : x
  2. Step 2: Convert to fraction form
    472.60/656.70 = 467.54/x
  3. Step 3: Cross multiply
    472.60x = 656.70 × 467.54
  4. Step 4: Simplify right side
    472.60x = 307,032.26
  5. Step 5: Solve for x
    x = 307,032.26/472.60
  6. Step 6: Final answer
    x = 649.66

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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.