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Finding the Fourth Proportional to 407.85, 608.79 and 359.25

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Solution

The fourth proportional to 407.85, 608.79 and 359.25 is: 536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.85 : 608.79 = 359.25 : x
  2. Step 2: Convert to fraction form
    407.85/608.79 = 359.25/x
  3. Step 3: Cross multiply
    407.85x = 608.79 × 359.25
  4. Step 4: Simplify right side
    407.85x = 218,707.81
  5. Step 5: Solve for x
    x = 218,707.81/407.85
  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.