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Finding the Fourth Proportional to 416.40, 578.46 and 404.16

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Solution

The fourth proportional to 416.40, 578.46 and 404.16 is: 561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 578.46 = 404.16 : x
  2. Step 2: Convert to fraction form
    416.40/578.46 = 404.16/x
  3. Step 3: Cross multiply
    416.40x = 578.46 × 404.16
  4. Step 4: Simplify right side
    416.40x = 233,790.39
  5. Step 5: Solve for x
    x = 233,790.39/416.40
  6. Step 6: Final answer
    x = 561.46

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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.