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Finding the Fourth Proportional to 524.52, 722.98 and 419.43

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Solution

The fourth proportional to 524.52, 722.98 and 419.43 is: 578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 722.98 = 419.43 : x
  2. Step 2: Convert to fraction form
    524.52/722.98 = 419.43/x
  3. Step 3: Cross multiply
    524.52x = 722.98 × 419.43
  4. Step 4: Simplify right side
    524.52x = 303,239.50
  5. Step 5: Solve for x
    x = 303,239.50/524.52
  6. Step 6: Final answer
    x = 578.13

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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.