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Finding the Fourth Proportional to 407.87, 559.91 and 375.06

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Solution

The fourth proportional to 407.87, 559.91 and 375.06 is: 514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.87 : 559.91 = 375.06 : x
  2. Step 2: Convert to fraction form
    407.87/559.91 = 375.06/x
  3. Step 3: Cross multiply
    407.87x = 559.91 × 375.06
  4. Step 4: Simplify right side
    407.87x = 209,997.97
  5. Step 5: Solve for x
    x = 209,997.97/407.87
  6. Step 6: Final answer
    x = 514.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.