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Finding the Fourth Proportional to 916.69, 1,265.03 and 523.73

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Solution

The fourth proportional to 916.69, 1,265.03 and 523.73 is: 722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.69 : 1,265.03 = 523.73 : x
  2. Step 2: Convert to fraction form
    916.69/1,265.03 = 523.73/x
  3. Step 3: Cross multiply
    916.69x = 1,265.03 × 523.73
  4. Step 4: Simplify right side
    916.69x = 662,527.84
  5. Step 5: Solve for x
    x = 662,527.84/916.69
  6. Step 6: Final answer
    x = 722.74

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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.