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Finding the Fourth Proportional to 975.28, 1,344.72 and 713.20

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Solution

The fourth proportional to 975.28, 1,344.72 and 713.20 is: 983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.28 : 1,344.72 = 713.20 : x
  2. Step 2: Convert to fraction form
    975.28/1,344.72 = 713.20/x
  3. Step 3: Cross multiply
    975.28x = 1,344.72 × 713.20
  4. Step 4: Simplify right side
    975.28x = 959,054.30
  5. Step 5: Solve for x
    x = 959,054.30/975.28
  6. Step 6: Final answer
    x = 983.36

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1.5x scale

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.