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Finding the Fourth Proportional to 668.56, 995.18 and 654.16

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Solution

The fourth proportional to 668.56, 995.18 and 654.16 is: 973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.56 : 995.18 = 654.16 : x
  2. Step 2: Convert to fraction form
    668.56/995.18 = 654.16/x
  3. Step 3: Cross multiply
    668.56x = 995.18 × 654.16
  4. Step 4: Simplify right side
    668.56x = 651,006.95
  5. Step 5: Solve for x
    x = 651,006.95/668.56
  6. Step 6: Final answer
    x = 973.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.