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Finding the Fourth Proportional to 790.50, 1,091.10 and 495.93

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Solution

The fourth proportional to 790.50, 1,091.10 and 495.93 is: 684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.50 : 1,091.10 = 495.93 : x
  2. Step 2: Convert to fraction form
    790.50/1,091.10 = 495.93/x
  3. Step 3: Cross multiply
    790.50x = 1,091.10 × 495.93
  4. Step 4: Simplify right side
    790.50x = 541,109.22
  5. Step 5: Solve for x
    x = 541,109.22/790.50
  6. Step 6: Final answer
    x = 684.52

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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.