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Finding the Fourth Proportional to 571.50, 861.75 and 464.58

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Solution

The fourth proportional to 571.50, 861.75 and 464.58 is: 700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.50 : 861.75 = 464.58 : x
  2. Step 2: Convert to fraction form
    571.50/861.75 = 464.58/x
  3. Step 3: Cross multiply
    571.50x = 861.75 × 464.58
  4. Step 4: Simplify right side
    571.50x = 400,351.82
  5. Step 5: Solve for x
    x = 400,351.82/571.50
  6. Step 6: Final answer
    x = 700.53

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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.