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Finding the Fourth Proportional to 551.90, 831.65 and 456.55

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Solution

The fourth proportional to 551.90, 831.65 and 456.55 is: 687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 831.65 = 456.55 : x
  2. Step 2: Convert to fraction form
    551.90/831.65 = 456.55/x
  3. Step 3: Cross multiply
    551.90x = 831.65 × 456.55
  4. Step 4: Simplify right side
    551.90x = 379,685.45
  5. Step 5: Solve for x
    x = 379,685.45/551.90
  6. Step 6: Final answer
    x = 687.96

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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.