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Finding the Fourth Proportional to 602.30, 831.56 and 492.04

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Solution

The fourth proportional to 602.30, 831.56 and 492.04 is: 679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.30 : 831.56 = 492.04 : x
  2. Step 2: Convert to fraction form
    602.30/831.56 = 492.04/x
  3. Step 3: Cross multiply
    602.30x = 831.56 × 492.04
  4. Step 4: Simplify right side
    602.30x = 409,160.78
  5. Step 5: Solve for x
    x = 409,160.78/602.30
  6. Step 6: Final answer
    x = 679.33

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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.