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Finding the Fourth Proportional to 551.41, 822.99 and 542.30

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Solution

The fourth proportional to 551.41, 822.99 and 542.30 is: 809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.41 : 822.99 = 542.30 : x
  2. Step 2: Convert to fraction form
    551.41/822.99 = 542.30/x
  3. Step 3: Cross multiply
    551.41x = 822.99 × 542.30
  4. Step 4: Simplify right side
    551.41x = 446,300.82
  5. Step 5: Solve for x
    x = 446,300.82/551.41
  6. Step 6: Final answer
    x = 809.38

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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.