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Finding the Fourth Proportional to 581.48, 865.99 and 571.25

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Solution

The fourth proportional to 581.48, 865.99 and 571.25 is: 850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.48 : 865.99 = 571.25 : x
  2. Step 2: Convert to fraction form
    581.48/865.99 = 571.25/x
  3. Step 3: Cross multiply
    581.48x = 865.99 × 571.25
  4. Step 4: Simplify right side
    581.48x = 494,699.67
  5. Step 5: Solve for x
    x = 494,699.67/581.48
  6. Step 6: Final answer
    x = 850.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.