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Finding the Fourth Proportional to 551.76, 831.35 and 492.80

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Solution

The fourth proportional to 551.76, 831.35 and 492.80 is: 742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.76 : 831.35 = 492.80 : x
  2. Step 2: Convert to fraction form
    551.76/831.35 = 492.80/x
  3. Step 3: Cross multiply
    551.76x = 831.35 × 492.80
  4. Step 4: Simplify right side
    551.76x = 409,689.28
  5. Step 5: Solve for x
    x = 409,689.28/551.76
  6. Step 6: Final answer
    x = 742.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.