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Finding the Fourth Proportional to 561.63, 774.21 and 414

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Solution

The fourth proportional to 561.63, 774.21 and 414 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.63 : 774.21 = 414 : x
  2. Step 2: Convert to fraction form
    561.63/774.21 = 414/x
  3. Step 3: Cross multiply
    561.63x = 774.21 × 414
  4. Step 4: Simplify right side
    561.63x = 320,522.94
  5. Step 5: Solve for x
    x = 320,522.94/561.63
  6. Step 6: Final answer
    x = 570.70

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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.