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Finding the Fourth Proportional to 475.78, 653.93 and 420.18

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Solution

The fourth proportional to 475.78, 653.93 and 420.18 is: 577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.78 : 653.93 = 420.18 : x
  2. Step 2: Convert to fraction form
    475.78/653.93 = 420.18/x
  3. Step 3: Cross multiply
    475.78x = 653.93 × 420.18
  4. Step 4: Simplify right side
    475.78x = 274,768.31
  5. Step 5: Solve for x
    x = 274,768.31/475.78
  6. Step 6: Final answer
    x = 577.51

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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.