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Finding the Fourth Proportional to 954.36, 1,316.25 and 688.28

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Solution

The fourth proportional to 954.36, 1,316.25 and 688.28 is: 949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.36 : 1,316.25 = 688.28 : x
  2. Step 2: Convert to fraction form
    954.36/1,316.25 = 688.28/x
  3. Step 3: Cross multiply
    954.36x = 1,316.25 × 688.28
  4. Step 4: Simplify right side
    954.36x = 905,941.97
  5. Step 5: Solve for x
    x = 905,941.97/954.36
  6. Step 6: Final answer
    x = 949.27

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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.