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Finding the Fourth Proportional to 551.72, 761.14 and 427.24

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Solution

The fourth proportional to 551.72, 761.14 and 427.24 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.72 : 761.14 = 427.24 : x
  2. Step 2: Convert to fraction form
    551.72/761.14 = 427.24/x
  3. Step 3: Cross multiply
    551.72x = 761.14 × 427.24
  4. Step 4: Simplify right side
    551.72x = 325,189.45
  5. Step 5: Solve for x
    x = 325,189.45/551.72
  6. Step 6: Final answer
    x = 589.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.