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Finding the Fourth Proportional to 841.60, 1,261.12 and 659.36

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Solution

The fourth proportional to 841.60, 1,261.12 and 659.36 is: 988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.60 : 1,261.12 = 659.36 : x
  2. Step 2: Convert to fraction form
    841.60/1,261.12 = 659.36/x
  3. Step 3: Cross multiply
    841.60x = 1,261.12 × 659.36
  4. Step 4: Simplify right side
    841.60x = 831,532.08
  5. Step 5: Solve for x
    x = 831,532.08/841.60
  6. Step 6: Final answer
    x = 988.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.