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Finding the Fourth Proportional to 561.55, 841.71 and 301.27

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Solution

The fourth proportional to 561.55, 841.71 and 301.27 is: 451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.55 : 841.71 = 301.27 : x
  2. Step 2: Convert to fraction form
    561.55/841.71 = 301.27/x
  3. Step 3: Cross multiply
    561.55x = 841.71 × 301.27
  4. Step 4: Simplify right side
    561.55x = 253,581.97
  5. Step 5: Solve for x
    x = 253,581.97/561.55
  6. Step 6: Final answer
    x = 451.58

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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.