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Finding the Fourth Proportional to 902.72, 1,245.28 and 592

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Solution

The fourth proportional to 902.72, 1,245.28 and 592 is: 816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.72 : 1,245.28 = 592 : x
  2. Step 2: Convert to fraction form
    902.72/1,245.28 = 592/x
  3. Step 3: Cross multiply
    902.72x = 1,245.28 × 592
  4. Step 4: Simplify right side
    902.72x = 737,205.76
  5. Step 5: Solve for x
    x = 737,205.76/902.72
  6. Step 6: Final answer
    x = 816.65

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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.