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Finding the Fourth Proportional to 575.06, 865.94 and 488.69

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Solution

The fourth proportional to 575.06, 865.94 and 488.69 is: 735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.06 : 865.94 = 488.69 : x
  2. Step 2: Convert to fraction form
    575.06/865.94 = 488.69/x
  3. Step 3: Cross multiply
    575.06x = 865.94 × 488.69
  4. Step 4: Simplify right side
    575.06x = 423,176.22
  5. Step 5: Solve for x
    x = 423,176.22/575.06
  6. Step 6: Final answer
    x = 735.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.