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Finding the Fourth Proportional to 468.87, 699.95 and 407.37

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Solution

The fourth proportional to 468.87, 699.95 and 407.37 is: 608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.87 : 699.95 = 407.37 : x
  2. Step 2: Convert to fraction form
    468.87/699.95 = 407.37/x
  3. Step 3: Cross multiply
    468.87x = 699.95 × 407.37
  4. Step 4: Simplify right side
    468.87x = 285,142.27
  5. Step 5: Solve for x
    x = 285,142.27/468.87
  6. Step 6: Final answer
    x = 608.15

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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.