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Finding the Fourth Proportional to 571.63, 857.69 and 279.35

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Solution

The fourth proportional to 571.63, 857.69 and 279.35 is: 419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.63 : 857.69 = 279.35 : x
  2. Step 2: Convert to fraction form
    571.63/857.69 = 279.35/x
  3. Step 3: Cross multiply
    571.63x = 857.69 × 279.35
  4. Step 4: Simplify right side
    571.63x = 239,598.54
  5. Step 5: Solve for x
    x = 239,598.54/571.63
  6. Step 6: Final answer
    x = 419.15

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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.