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Finding the Fourth Proportional to 962.82, 1,328.81 and 631.26

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Solution

The fourth proportional to 962.82, 1,328.81 and 631.26 is: 871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.82 : 1,328.81 = 631.26 : x
  2. Step 2: Convert to fraction form
    962.82/1,328.81 = 631.26/x
  3. Step 3: Cross multiply
    962.82x = 1,328.81 × 631.26
  4. Step 4: Simplify right side
    962.82x = 838,821.44
  5. Step 5: Solve for x
    x = 838,821.44/962.82
  6. Step 6: Final answer
    x = 871.21

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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.