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Finding the Fourth Proportional to 581.07, 801.72 and 359.94

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Solution

The fourth proportional to 581.07, 801.72 and 359.94 is: 496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.07 : 801.72 = 359.94 : x
  2. Step 2: Convert to fraction form
    581.07/801.72 = 359.94/x
  3. Step 3: Cross multiply
    581.07x = 801.72 × 359.94
  4. Step 4: Simplify right side
    581.07x = 288,571.10
  5. Step 5: Solve for x
    x = 288,571.10/581.07
  6. Step 6: Final answer
    x = 496.62

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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.