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Finding the Fourth Proportional to 595.18, 820.48 and 420.22

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Solution

The fourth proportional to 595.18, 820.48 and 420.22 is: 579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.18 : 820.48 = 420.22 : x
  2. Step 2: Convert to fraction form
    595.18/820.48 = 420.22/x
  3. Step 3: Cross multiply
    595.18x = 820.48 × 420.22
  4. Step 4: Simplify right side
    595.18x = 344,775.90
  5. Step 5: Solve for x
    x = 344,775.90/595.18
  6. Step 6: Final answer
    x = 579.28

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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.