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Finding the Fourth Proportional to 476.34, 655.83 and 420.28

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Solution

The fourth proportional to 476.34, 655.83 and 420.28 is: 578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.34 : 655.83 = 420.28 : x
  2. Step 2: Convert to fraction form
    476.34/655.83 = 420.28/x
  3. Step 3: Cross multiply
    476.34x = 655.83 × 420.28
  4. Step 4: Simplify right side
    476.34x = 275,632.23
  5. Step 5: Solve for x
    x = 275,632.23/476.34
  6. Step 6: Final answer
    x = 578.65

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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.