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Finding the Fourth Proportional to 520.86, 718.81 and 284.82

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Solution

The fourth proportional to 520.86, 718.81 and 284.82 is: 393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.86 : 718.81 = 284.82 : x
  2. Step 2: Convert to fraction form
    520.86/718.81 = 284.82/x
  3. Step 3: Cross multiply
    520.86x = 718.81 × 284.82
  4. Step 4: Simplify right side
    520.86x = 204,728.06
  5. Step 5: Solve for x
    x = 204,728.06/520.86
  6. Step 6: Final answer
    x = 393.05

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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.