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Finding the Fourth Proportional to 465.61, 697.15 and 400.31

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Solution

The fourth proportional to 465.61, 697.15 and 400.31 is: 599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.61 : 697.15 = 400.31 : x
  2. Step 2: Convert to fraction form
    465.61/697.15 = 400.31/x
  3. Step 3: Cross multiply
    465.61x = 697.15 × 400.31
  4. Step 4: Simplify right side
    465.61x = 279,076.12
  5. Step 5: Solve for x
    x = 279,076.12/465.61
  6. Step 6: Final answer
    x = 599.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.