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Finding the Fourth Proportional to 407.86, 608.79 and 359.26

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Solution

The fourth proportional to 407.86, 608.79 and 359.26 is: 536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 608.79 = 359.26 : x
  2. Step 2: Convert to fraction form
    407.86/608.79 = 359.26/x
  3. Step 3: Cross multiply
    407.86x = 608.79 × 359.26
  4. Step 4: Simplify right side
    407.86x = 218,713.90
  5. Step 5: Solve for x
    x = 218,713.90/407.86
  6. Step 6: Final answer
    x = 536.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.