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Finding the Fourth Proportional to 571.77, 858.33 and 279.54

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Solution

The fourth proportional to 571.77, 858.33 and 279.54 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.77 : 858.33 = 279.54 : x
  2. Step 2: Convert to fraction form
    571.77/858.33 = 279.54/x
  3. Step 3: Cross multiply
    571.77x = 858.33 × 279.54
  4. Step 4: Simplify right side
    571.77x = 239,937.57
  5. Step 5: Solve for x
    x = 239,937.57/571.77
  6. Step 6: Final answer
    x = 419.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.