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Finding the Fourth Proportional to 520.80, 718.37 and 410.23

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Solution

The fourth proportional to 520.80, 718.37 and 410.23 is: 565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.80 : 718.37 = 410.23 : x
  2. Step 2: Convert to fraction form
    520.80/718.37 = 410.23/x
  3. Step 3: Cross multiply
    520.80x = 718.37 × 410.23
  4. Step 4: Simplify right side
    520.80x = 294,696.93
  5. Step 5: Solve for x
    x = 294,696.93/520.80
  6. Step 6: Final answer
    x = 565.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.