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Finding the Fourth Proportional to 551.19, 822.90 and 420.48

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Solution

The fourth proportional to 551.19, 822.90 and 420.48 is: 627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.19 : 822.90 = 420.48 : x
  2. Step 2: Convert to fraction form
    551.19/822.90 = 420.48/x
  3. Step 3: Cross multiply
    551.19x = 822.90 × 420.48
  4. Step 4: Simplify right side
    551.19x = 346,012.99
  5. Step 5: Solve for x
    x = 346,012.99/551.19
  6. Step 6: Final answer
    x = 627.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.