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Finding the Fourth Proportional to 978.08, 1,348.16 and 682.84

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Solution

The fourth proportional to 978.08, 1,348.16 and 682.84 is: 941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.08 : 1,348.16 = 682.84 : x
  2. Step 2: Convert to fraction form
    978.08/1,348.16 = 682.84/x
  3. Step 3: Cross multiply
    978.08x = 1,348.16 × 682.84
  4. Step 4: Simplify right side
    978.08x = 920,577.57
  5. Step 5: Solve for x
    x = 920,577.57/978.08
  6. Step 6: Final answer
    x = 941.21

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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.