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Finding the Fourth Proportional to 581.17, 801.19 and 415.12

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Solution

The fourth proportional to 581.17, 801.19 and 415.12 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.17 : 801.19 = 415.12 : x
  2. Step 2: Convert to fraction form
    581.17/801.19 = 415.12/x
  3. Step 3: Cross multiply
    581.17x = 801.19 × 415.12
  4. Step 4: Simplify right side
    581.17x = 332,589.99
  5. Step 5: Solve for x
    x = 332,589.99/581.17
  6. Step 6: Final answer
    x = 572.28

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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.