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Finding the Fourth Proportional to 475.20, 642 and 475.20

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Solution

The fourth proportional to 475.20, 642 and 475.20 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 642 = 475.20 : x
  2. Step 2: Convert to fraction form
    475.20/642 = 475.20/x
  3. Step 3: Cross multiply
    475.20x = 642 × 475.20
  4. Step 4: Simplify right side
    475.20x = 305,078.40
  5. Step 5: Solve for x
    x = 305,078.40/475.20
  6. Step 6: Final answer
    x = 642.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.