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Finding the Fourth Proportional to 713.69, 985.12 and 415.03

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Solution

The fourth proportional to 713.69, 985.12 and 415.03 is: 572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.69 : 985.12 = 415.03 : x
  2. Step 2: Convert to fraction form
    713.69/985.12 = 415.03/x
  3. Step 3: Cross multiply
    713.69x = 985.12 × 415.03
  4. Step 4: Simplify right side
    713.69x = 408,855.24
  5. Step 5: Solve for x
    x = 408,855.24/713.69
  6. Step 6: Final answer
    x = 572.87

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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.