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Finding the Fourth Proportional to 420.84, 584.78 and 416.34

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Solution

The fourth proportional to 420.84, 584.78 and 416.34 is: 578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 584.78 = 416.34 : x
  2. Step 2: Convert to fraction form
    420.84/584.78 = 416.34/x
  3. Step 3: Cross multiply
    420.84x = 584.78 × 416.34
  4. Step 4: Simplify right side
    420.84x = 243,465.22
  5. Step 5: Solve for x
    x = 243,465.22/420.84
  6. Step 6: Final answer
    x = 578.52

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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.