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Finding the Fourth Proportional to 468.05, 699.03 and 440.10

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Solution

The fourth proportional to 468.05, 699.03 and 440.10 is: 657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 699.03 = 440.10 : x
  2. Step 2: Convert to fraction form
    468.05/699.03 = 440.10/x
  3. Step 3: Cross multiply
    468.05x = 699.03 × 440.10
  4. Step 4: Simplify right side
    468.05x = 307,646.82
  5. Step 5: Solve for x
    x = 307,646.82/468.05
  6. Step 6: Final answer
    x = 657.30

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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.