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Finding the Fourth Proportional to 400.69, 597.54 and 383.27

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Solution

The fourth proportional to 400.69, 597.54 and 383.27 is: 571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.69 : 597.54 = 383.27 : x
  2. Step 2: Convert to fraction form
    400.69/597.54 = 383.27/x
  3. Step 3: Cross multiply
    400.69x = 597.54 × 383.27
  4. Step 4: Simplify right side
    400.69x = 229,017.24
  5. Step 5: Solve for x
    x = 229,017.24/400.69
  6. Step 6: Final answer
    x = 571.56

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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.