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Finding the Fourth Proportional to 968.36, 1,336.64 and 653.40

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Solution

The fourth proportional to 968.36, 1,336.64 and 653.40 is: 901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.36 : 1,336.64 = 653.40 : x
  2. Step 2: Convert to fraction form
    968.36/1,336.64 = 653.40/x
  3. Step 3: Cross multiply
    968.36x = 1,336.64 × 653.40
  4. Step 4: Simplify right side
    968.36x = 873,357.31
  5. Step 5: Solve for x
    x = 873,357.31/968.36
  6. Step 6: Final answer
    x = 901.90

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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.