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Finding the Fourth Proportional to 423.62, 581.49 and 390.81

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Solution

The fourth proportional to 423.62, 581.49 and 390.81 is: 536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.62 : 581.49 = 390.81 : x
  2. Step 2: Convert to fraction form
    423.62/581.49 = 390.81/x
  3. Step 3: Cross multiply
    423.62x = 581.49 × 390.81
  4. Step 4: Simplify right side
    423.62x = 227,252.11
  5. Step 5: Solve for x
    x = 227,252.11/423.62
  6. Step 6: Final answer
    x = 536.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.