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Finding the Fourth Proportional to 529.29, 723.94 and 520.79

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Solution

The fourth proportional to 529.29, 723.94 and 520.79 is: 712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.29 : 723.94 = 520.79 : x
  2. Step 2: Convert to fraction form
    529.29/723.94 = 520.79/x
  3. Step 3: Cross multiply
    529.29x = 723.94 × 520.79
  4. Step 4: Simplify right side
    529.29x = 377,017.26
  5. Step 5: Solve for x
    x = 377,017.26/529.29
  6. Step 6: Final answer
    x = 712.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.