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Finding the Fourth Proportional to 561.09, 841.21 and 387.26

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Solution

The fourth proportional to 561.09, 841.21 and 387.26 is: 580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.09 : 841.21 = 387.26 : x
  2. Step 2: Convert to fraction form
    561.09/841.21 = 387.26/x
  3. Step 3: Cross multiply
    561.09x = 841.21 × 387.26
  4. Step 4: Simplify right side
    561.09x = 325,766.42
  5. Step 5: Solve for x
    x = 325,766.42/561.09
  6. Step 6: Final answer
    x = 580.60

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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.