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Finding the Fourth Proportional to 524.40, 722.62 and 517.92

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Solution

The fourth proportional to 524.40, 722.62 and 517.92 is: 713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 722.62 = 517.92 : x
  2. Step 2: Convert to fraction form
    524.40/722.62 = 517.92/x
  3. Step 3: Cross multiply
    524.40x = 722.62 × 517.92
  4. Step 4: Simplify right side
    524.40x = 374,259.32
  5. Step 5: Solve for x
    x = 374,259.32/524.40
  6. Step 6: Final answer
    x = 713.69

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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.