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Finding the Fourth Proportional to 967.84, 1,335.59 and 548.18

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Solution

The fourth proportional to 967.84, 1,335.59 and 548.18 is: 756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,335.59 = 548.18 : x
  2. Step 2: Convert to fraction form
    967.84/1,335.59 = 548.18/x
  3. Step 3: Cross multiply
    967.84x = 1,335.59 × 548.18
  4. Step 4: Simplify right side
    967.84x = 732,143.73
  5. Step 5: Solve for x
    x = 732,143.73/967.84
  6. Step 6: Final answer
    x = 756.47

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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.