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Finding the Fourth Proportional to 407.67, 613.56 and 305.51

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Solution

The fourth proportional to 407.67, 613.56 and 305.51 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.67 : 613.56 = 305.51 : x
  2. Step 2: Convert to fraction form
    407.67/613.56 = 305.51/x
  3. Step 3: Cross multiply
    407.67x = 613.56 × 305.51
  4. Step 4: Simplify right side
    407.67x = 187,445.65
  5. Step 5: Solve for x
    x = 187,445.65/407.67
  6. Step 6: Final answer
    x = 459.80

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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.