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Finding the Fourth Proportional to 419.61, 578.01 and 400.98

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Solution

The fourth proportional to 419.61, 578.01 and 400.98 is: 552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.61 : 578.01 = 400.98 : x
  2. Step 2: Convert to fraction form
    419.61/578.01 = 400.98/x
  3. Step 3: Cross multiply
    419.61x = 578.01 × 400.98
  4. Step 4: Simplify right side
    419.61x = 231,770.45
  5. Step 5: Solve for x
    x = 231,770.45/419.61
  6. Step 6: Final answer
    x = 552.35

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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.