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Finding the Fourth Proportional to 520.44, 721.31 and 510.72

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Solution

The fourth proportional to 520.44, 721.31 and 510.72 is: 707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 721.31 = 510.72 : x
  2. Step 2: Convert to fraction form
    520.44/721.31 = 510.72/x
  3. Step 3: Cross multiply
    520.44x = 721.31 × 510.72
  4. Step 4: Simplify right side
    520.44x = 368,383.62
  5. Step 5: Solve for x
    x = 368,383.62/520.44
  6. Step 6: Final answer
    x = 707.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.