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Finding the Fourth Proportional to 841.28, 1,161.28 and 491.84

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Solution

The fourth proportional to 841.28, 1,161.28 and 491.84 is: 678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.28 : 1,161.28 = 491.84 : x
  2. Step 2: Convert to fraction form
    841.28/1,161.28 = 491.84/x
  3. Step 3: Cross multiply
    841.28x = 1,161.28 × 491.84
  4. Step 4: Simplify right side
    841.28x = 571,163.96
  5. Step 5: Solve for x
    x = 571,163.96/841.28
  6. Step 6: Final answer
    x = 678.92

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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.