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Finding the Fourth Proportional to 967.68, 1,335.24 and 618.48

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Solution

The fourth proportional to 967.68, 1,335.24 and 618.48 is: 853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.68 : 1,335.24 = 618.48 : x
  2. Step 2: Convert to fraction form
    967.68/1,335.24 = 618.48/x
  3. Step 3: Cross multiply
    967.68x = 1,335.24 × 618.48
  4. Step 4: Simplify right side
    967.68x = 825,819.24
  5. Step 5: Solve for x
    x = 825,819.24/967.68
  6. Step 6: Final answer
    x = 853.40

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1.5x scale

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.