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Finding the Fourth Proportional to 478.76, 660.42 and 416.48

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Solution

The fourth proportional to 478.76, 660.42 and 416.48 is: 574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.76 : 660.42 = 416.48 : x
  2. Step 2: Convert to fraction form
    478.76/660.42 = 416.48/x
  3. Step 3: Cross multiply
    478.76x = 660.42 × 416.48
  4. Step 4: Simplify right side
    478.76x = 275,048.42
  5. Step 5: Solve for x
    x = 275,048.42/478.76
  6. Step 6: Final answer
    x = 574.51

Related Problems

Find fourth proportional to 239.38, 330.21 and 208.24
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Double scale
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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.