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Finding the Fourth Proportional to 518.04, 780.21 and 471.96

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Solution

The fourth proportional to 518.04, 780.21 and 471.96 is: 710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.04 : 780.21 = 471.96 : x
  2. Step 2: Convert to fraction form
    518.04/780.21 = 471.96/x
  3. Step 3: Cross multiply
    518.04x = 780.21 × 471.96
  4. Step 4: Simplify right side
    518.04x = 368,227.91
  5. Step 5: Solve for x
    x = 368,227.91/518.04
  6. Step 6: Final answer
    x = 710.81

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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.