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Finding the Fourth Proportional to 571.64, 860.81 and 410.45

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Solution

The fourth proportional to 571.64, 860.81 and 410.45 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.64 : 860.81 = 410.45 : x
  2. Step 2: Convert to fraction form
    571.64/860.81 = 410.45/x
  3. Step 3: Cross multiply
    571.64x = 860.81 × 410.45
  4. Step 4: Simplify right side
    571.64x = 353,313.11
  5. Step 5: Solve for x
    x = 353,313.11/571.64
  6. Step 6: Final answer
    x = 618.07

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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.