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Finding the Fourth Proportional to 581.26, 801.73 and 385.04

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Solution

The fourth proportional to 581.26, 801.73 and 385.04 is: 531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.26 : 801.73 = 385.04 : x
  2. Step 2: Convert to fraction form
    581.26/801.73 = 385.04/x
  3. Step 3: Cross multiply
    581.26x = 801.73 × 385.04
  4. Step 4: Simplify right side
    581.26x = 308,698.12
  5. Step 5: Solve for x
    x = 308,698.12/581.26
  6. Step 6: Final answer
    x = 531.08

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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.