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Finding the Fourth Proportional to 581.11, 801.70 and 371.23

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Solution

The fourth proportional to 581.11, 801.70 and 371.23 is: 512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.11 : 801.70 = 371.23 : x
  2. Step 2: Convert to fraction form
    581.11/801.70 = 371.23/x
  3. Step 3: Cross multiply
    581.11x = 801.70 × 371.23
  4. Step 4: Simplify right side
    581.11x = 297,615.09
  5. Step 5: Solve for x
    x = 297,615.09/581.11
  6. Step 6: Final answer
    x = 512.15

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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.