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Finding the Fourth Proportional to 520.92, 718.29 and 354.84

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Solution

The fourth proportional to 520.92, 718.29 and 354.84 is: 489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.92 : 718.29 = 354.84 : x
  2. Step 2: Convert to fraction form
    520.92/718.29 = 354.84/x
  3. Step 3: Cross multiply
    520.92x = 718.29 × 354.84
  4. Step 4: Simplify right side
    520.92x = 254,878.02
  5. Step 5: Solve for x
    x = 254,878.02/520.92
  6. Step 6: Final answer
    x = 489.28

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Why These Related Problems?

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