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Finding the Fourth Proportional to 561.99, 774.28 and 421.89

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Solution

The fourth proportional to 561.99, 774.28 and 421.89 is: 581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.99 : 774.28 = 421.89 : x
  2. Step 2: Convert to fraction form
    561.99/774.28 = 421.89/x
  3. Step 3: Cross multiply
    561.99x = 774.28 × 421.89
  4. Step 4: Simplify right side
    561.99x = 326,660.99
  5. Step 5: Solve for x
    x = 326,660.99/561.99
  6. Step 6: Final answer
    x = 581.26

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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.