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Finding the Fourth Proportional to 967.84, 1,334.08 and 618.40

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Solution

The fourth proportional to 967.84, 1,334.08 and 618.40 is: 852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,334.08 = 618.40 : x
  2. Step 2: Convert to fraction form
    967.84/1,334.08 = 618.40/x
  3. Step 3: Cross multiply
    967.84x = 1,334.08 × 618.40
  4. Step 4: Simplify right side
    967.84x = 824,995.07
  5. Step 5: Solve for x
    x = 824,995.07/967.84
  6. Step 6: Final answer
    x = 852.41

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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.