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Finding the Fourth Proportional to 478.88, 656.80 and 473.20

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Solution

The fourth proportional to 478.88, 656.80 and 473.20 is: 649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.88 : 656.80 = 473.20 : x
  2. Step 2: Convert to fraction form
    478.88/656.80 = 473.20/x
  3. Step 3: Cross multiply
    478.88x = 656.80 × 473.20
  4. Step 4: Simplify right side
    478.88x = 310,797.76
  5. Step 5: Solve for x
    x = 310,797.76/478.88
  6. Step 6: Final answer
    x = 649.01

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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.