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Finding the Fourth Proportional to 478.03, 655.73 and 473.71

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Solution

The fourth proportional to 478.03, 655.73 and 473.71 is: 649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.03 : 655.73 = 473.71 : x
  2. Step 2: Convert to fraction form
    478.03/655.73 = 473.71/x
  3. Step 3: Cross multiply
    478.03x = 655.73 × 473.71
  4. Step 4: Simplify right side
    478.03x = 310,625.86
  5. Step 5: Solve for x
    x = 310,625.86/478.03
  6. Step 6: Final answer
    x = 649.80

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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.