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Finding the Fourth Proportional to 417.84, 578.19 and 400.23

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Solution

The fourth proportional to 417.84, 578.19 and 400.23 is: 553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.84 : 578.19 = 400.23 : x
  2. Step 2: Convert to fraction form
    417.84/578.19 = 400.23/x
  3. Step 3: Cross multiply
    417.84x = 578.19 × 400.23
  4. Step 4: Simplify right side
    417.84x = 231,408.98
  5. Step 5: Solve for x
    x = 231,408.98/417.84
  6. Step 6: Final answer
    x = 553.82

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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.