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Finding the Fourth Proportional to 478.40, 656.56 and 457.92

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Solution

The fourth proportional to 478.40, 656.56 and 457.92 is: 628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.40 : 656.56 = 457.92 : x
  2. Step 2: Convert to fraction form
    478.40/656.56 = 457.92/x
  3. Step 3: Cross multiply
    478.40x = 656.56 × 457.92
  4. Step 4: Simplify right side
    478.40x = 300,651.96
  5. Step 5: Solve for x
    x = 300,651.96/478.40
  6. Step 6: Final answer
    x = 628.45

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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.