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Finding the Fourth Proportional to 463.06, 690.67 and 390.42

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Solution

The fourth proportional to 463.06, 690.67 and 390.42 is: 582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.06 : 690.67 = 390.42 : x
  2. Step 2: Convert to fraction form
    463.06/690.67 = 390.42/x
  3. Step 3: Cross multiply
    463.06x = 690.67 × 390.42
  4. Step 4: Simplify right side
    463.06x = 269,645.98
  5. Step 5: Solve for x
    x = 269,645.98/463.06
  6. Step 6: Final answer
    x = 582.31

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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.