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Finding the Fourth Proportional to 524.94, 724.37 and 300.89

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Solution

The fourth proportional to 524.94, 724.37 and 300.89 is: 415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 724.37 = 300.89 : x
  2. Step 2: Convert to fraction form
    524.94/724.37 = 300.89/x
  3. Step 3: Cross multiply
    524.94x = 724.37 × 300.89
  4. Step 4: Simplify right side
    524.94x = 217,955.69
  5. Step 5: Solve for x
    x = 217,955.69/524.94
  6. Step 6: Final answer
    x = 415.20

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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.