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Finding the Fourth Proportional to 410.07, 617.87 and 365.86

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Solution

The fourth proportional to 410.07, 617.87 and 365.86 is: 551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 617.87 = 365.86 : x
  2. Step 2: Convert to fraction form
    410.07/617.87 = 365.86/x
  3. Step 3: Cross multiply
    410.07x = 617.87 × 365.86
  4. Step 4: Simplify right side
    410.07x = 226,055.61
  5. Step 5: Solve for x
    x = 226,055.61/410.07
  6. Step 6: Final answer
    x = 551.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.