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Finding the Fourth Proportional to 841.65, 1,161.35 and 492.33

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Solution

The fourth proportional to 841.65, 1,161.35 and 492.33 is: 679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.65 : 1,161.35 = 492.33 : x
  2. Step 2: Convert to fraction form
    841.65/1,161.35 = 492.33/x
  3. Step 3: Cross multiply
    841.65x = 1,161.35 × 492.33
  4. Step 4: Simplify right side
    841.65x = 571,764.98
  5. Step 5: Solve for x
    x = 571,764.98/841.65
  6. Step 6: Final answer
    x = 679.34

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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.