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Finding the Fourth Proportional to 841.96, 1,261.52 and 534.16

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Solution

The fourth proportional to 841.96, 1,261.52 and 534.16 is: 800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.96 : 1,261.52 = 534.16 : x
  2. Step 2: Convert to fraction form
    841.96/1,261.52 = 534.16/x
  3. Step 3: Cross multiply
    841.96x = 1,261.52 × 534.16
  4. Step 4: Simplify right side
    841.96x = 673,844.54
  5. Step 5: Solve for x
    x = 673,844.54/841.96
  6. Step 6: Final answer
    x = 800.33

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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.