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Finding the Fourth Proportional to 435.49, 603.85 and 420.10

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Solution

The fourth proportional to 435.49, 603.85 and 420.10 is: 582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.49 : 603.85 = 420.10 : x
  2. Step 2: Convert to fraction form
    435.49/603.85 = 420.10/x
  3. Step 3: Cross multiply
    435.49x = 603.85 × 420.10
  4. Step 4: Simplify right side
    435.49x = 253,677.39
  5. Step 5: Solve for x
    x = 253,677.39/435.49
  6. Step 6: Final answer
    x = 582.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.