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Finding the Fourth Proportional to 419.94, 581.76 and 409.86

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Solution

The fourth proportional to 419.94, 581.76 and 409.86 is: 567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 581.76 = 409.86 : x
  2. Step 2: Convert to fraction form
    419.94/581.76 = 409.86/x
  3. Step 3: Cross multiply
    419.94x = 581.76 × 409.86
  4. Step 4: Simplify right side
    419.94x = 238,440.15
  5. Step 5: Solve for x
    x = 238,440.15/419.94
  6. Step 6: Final answer
    x = 567.80

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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.