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Finding the Fourth Proportional to 474.48, 657.45 and 468.54

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Solution

The fourth proportional to 474.48, 657.45 and 468.54 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.48 : 657.45 = 468.54 : x
  2. Step 2: Convert to fraction form
    474.48/657.45 = 468.54/x
  3. Step 3: Cross multiply
    474.48x = 657.45 × 468.54
  4. Step 4: Simplify right side
    474.48x = 308,041.62
  5. Step 5: Solve for x
    x = 308,041.62/474.48
  6. Step 6: Final answer
    x = 649.22

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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.