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Finding the Fourth Proportional to 841.49, 1,161.33 and 492.29

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Solution

The fourth proportional to 841.49, 1,161.33 and 492.29 is: 679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.49 : 1,161.33 = 492.29 : x
  2. Step 2: Convert to fraction form
    841.49/1,161.33 = 492.29/x
  3. Step 3: Cross multiply
    841.49x = 1,161.33 × 492.29
  4. Step 4: Simplify right side
    841.49x = 571,705.34
  5. Step 5: Solve for x
    x = 571,705.34/841.49
  6. Step 6: Final answer
    x = 679.40

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1.5x scale

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.