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Finding the Fourth Proportional to 962.42, 1,328.15 and 548.42

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Solution

The fourth proportional to 962.42, 1,328.15 and 548.42 is: 756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.42 : 1,328.15 = 548.42 : x
  2. Step 2: Convert to fraction form
    962.42/1,328.15 = 548.42/x
  3. Step 3: Cross multiply
    962.42x = 1,328.15 × 548.42
  4. Step 4: Simplify right side
    962.42x = 728,384.02
  5. Step 5: Solve for x
    x = 728,384.02/962.42
  6. Step 6: Final answer
    x = 756.83

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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.