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Finding the Fourth Proportional to 434.49, 602.46 and 419.10

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Solution

The fourth proportional to 434.49, 602.46 and 419.10 is: 581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.49 : 602.46 = 419.10 : x
  2. Step 2: Convert to fraction form
    434.49/602.46 = 419.10/x
  3. Step 3: Cross multiply
    434.49x = 602.46 × 419.10
  4. Step 4: Simplify right side
    434.49x = 252,490.99
  5. Step 5: Solve for x
    x = 252,490.99/434.49
  6. Step 6: Final answer
    x = 581.12

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