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Finding the Fourth Proportional to 841.78, 1,161.74 and 492.47

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Solution

The fourth proportional to 841.78, 1,161.74 and 492.47 is: 679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.78 : 1,161.74 = 492.47 : x
  2. Step 2: Convert to fraction form
    841.78/1,161.74 = 492.47/x
  3. Step 3: Cross multiply
    841.78x = 1,161.74 × 492.47
  4. Step 4: Simplify right side
    841.78x = 572,119.11
  5. Step 5: Solve for x
    x = 572,119.11/841.78
  6. Step 6: Final answer
    x = 679.65

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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.