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Finding the Fourth Proportional to 478.02, 656.10 and 457.98

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Solution

The fourth proportional to 478.02, 656.10 and 457.98 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.02 : 656.10 = 457.98 : x
  2. Step 2: Convert to fraction form
    478.02/656.10 = 457.98/x
  3. Step 3: Cross multiply
    478.02x = 656.10 × 457.98
  4. Step 4: Simplify right side
    478.02x = 300,480.68
  5. Step 5: Solve for x
    x = 300,480.68/478.02
  6. Step 6: Final answer
    x = 628.59

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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.