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Finding the Fourth Proportional to 790.46, 1,089.92 and 506.49

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Solution

The fourth proportional to 790.46, 1,089.92 and 506.49 is: 698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.46 : 1,089.92 = 506.49 : x
  2. Step 2: Convert to fraction form
    790.46/1,089.92 = 506.49/x
  3. Step 3: Cross multiply
    790.46x = 1,089.92 × 506.49
  4. Step 4: Simplify right side
    790.46x = 552,031.05
  5. Step 5: Solve for x
    x = 552,031.05/790.46
  6. Step 6: Final answer
    x = 698.37

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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.