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Finding the Fourth Proportional to 551.16, 825.21 and 377.46

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Solution

The fourth proportional to 551.16, 825.21 and 377.46 is: 565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.16 : 825.21 = 377.46 : x
  2. Step 2: Convert to fraction form
    551.16/825.21 = 377.46/x
  3. Step 3: Cross multiply
    551.16x = 825.21 × 377.46
  4. Step 4: Simplify right side
    551.16x = 311,483.77
  5. Step 5: Solve for x
    x = 311,483.77/551.16
  6. Step 6: Final answer
    x = 565.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.