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Finding the Fourth Proportional to 561.45, 841.77 and 378.39

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Solution

The fourth proportional to 561.45, 841.77 and 378.39 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.45 : 841.77 = 378.39 : x
  2. Step 2: Convert to fraction form
    561.45/841.77 = 378.39/x
  3. Step 3: Cross multiply
    561.45x = 841.77 × 378.39
  4. Step 4: Simplify right side
    561.45x = 318,517.35
  5. Step 5: Solve for x
    x = 318,517.35/561.45
  6. Step 6: Final answer
    x = 567.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.