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Finding the Fourth Proportional to 975.79, 1,464.56 and 712.48

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Solution

The fourth proportional to 975.79, 1,464.56 and 712.48 is: 1,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.79 : 1,464.56 = 712.48 : x
  2. Step 2: Convert to fraction form
    975.79/1,464.56 = 712.48/x
  3. Step 3: Cross multiply
    975.79x = 1,464.56 × 712.48
  4. Step 4: Simplify right side
    975.79x = 1,043,469.71
  5. Step 5: Solve for x
    x = 1,043,469.71/975.79
  6. Step 6: Final answer
    x = 1,069.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.