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Finding the Fourth Proportional to 407.68, 608.50 and 375.14

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Solution

The fourth proportional to 407.68, 608.50 and 375.14 is: 559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 608.50 = 375.14 : x
  2. Step 2: Convert to fraction form
    407.68/608.50 = 375.14/x
  3. Step 3: Cross multiply
    407.68x = 608.50 × 375.14
  4. Step 4: Simplify right side
    407.68x = 228,272.69
  5. Step 5: Solve for x
    x = 228,272.69/407.68
  6. Step 6: Final answer
    x = 559.93

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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.