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Finding the Fourth Proportional to 571.69, 856.02 and 455.36

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Solution

The fourth proportional to 571.69, 856.02 and 455.36 is: 681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.69 : 856.02 = 455.36 : x
  2. Step 2: Convert to fraction form
    571.69/856.02 = 455.36/x
  3. Step 3: Cross multiply
    571.69x = 856.02 × 455.36
  4. Step 4: Simplify right side
    571.69x = 389,792.13
  5. Step 5: Solve for x
    x = 389,792.13/571.69
  6. Step 6: Final answer
    x = 681.82

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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.