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Finding the Fourth Proportional to 581.37, 801.77 and 412.99

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Solution

The fourth proportional to 581.37, 801.77 and 412.99 is: 569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.37 : 801.77 = 412.99 : x
  2. Step 2: Convert to fraction form
    581.37/801.77 = 412.99/x
  3. Step 3: Cross multiply
    581.37x = 801.77 × 412.99
  4. Step 4: Simplify right side
    581.37x = 331,122.99
  5. Step 5: Solve for x
    x = 331,122.99/581.37
  6. Step 6: Final answer
    x = 569.56

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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.