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Finding the Fourth Proportional to 602.82, 831.85 and 340.87

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Solution

The fourth proportional to 602.82, 831.85 and 340.87 is: 470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 831.85 = 340.87 : x
  2. Step 2: Convert to fraction form
    602.82/831.85 = 340.87/x
  3. Step 3: Cross multiply
    602.82x = 831.85 × 340.87
  4. Step 4: Simplify right side
    602.82x = 283,552.71
  5. Step 5: Solve for x
    x = 283,552.71/602.82
  6. Step 6: Final answer
    x = 470.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.