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Finding the Fourth Proportional to 400.65, 597.53 and 361.77

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Solution

The fourth proportional to 400.65, 597.53 and 361.77 is: 539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.65 : 597.53 = 361.77 : x
  2. Step 2: Convert to fraction form
    400.65/597.53 = 361.77/x
  3. Step 3: Cross multiply
    400.65x = 597.53 × 361.77
  4. Step 4: Simplify right side
    400.65x = 216,166.62
  5. Step 5: Solve for x
    x = 216,166.62/400.65
  6. Step 6: Final answer
    x = 539.54

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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.