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Finding the Fourth Proportional to 580.65, 801.44 and 359.47

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Solution

The fourth proportional to 580.65, 801.44 and 359.47 is: 496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.65 : 801.44 = 359.47 : x
  2. Step 2: Convert to fraction form
    580.65/801.44 = 359.47/x
  3. Step 3: Cross multiply
    580.65x = 801.44 × 359.47
  4. Step 4: Simplify right side
    580.65x = 288,093.64
  5. Step 5: Solve for x
    x = 288,093.64/580.65
  6. Step 6: Final answer
    x = 496.16

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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.