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Finding the Fourth Proportional to 978.96, 1,350.84 and 646.74

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Solution

The fourth proportional to 978.96, 1,350.84 and 646.74 is: 892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.96 : 1,350.84 = 646.74 : x
  2. Step 2: Convert to fraction form
    978.96/1,350.84 = 646.74/x
  3. Step 3: Cross multiply
    978.96x = 1,350.84 × 646.74
  4. Step 4: Simplify right side
    978.96x = 873,642.26
  5. Step 5: Solve for x
    x = 873,642.26/978.96
  6. Step 6: Final answer
    x = 892.42

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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.