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Finding the Fourth Proportional to 415.86, 578.48 and 407.94

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Solution

The fourth proportional to 415.86, 578.48 and 407.94 is: 567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.86 : 578.48 = 407.94 : x
  2. Step 2: Convert to fraction form
    415.86/578.48 = 407.94/x
  3. Step 3: Cross multiply
    415.86x = 578.48 × 407.94
  4. Step 4: Simplify right side
    415.86x = 235,983.09
  5. Step 5: Solve for x
    x = 235,983.09/415.86
  6. Step 6: Final answer
    x = 567.46

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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.