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Finding the Fourth Proportional to 975.30, 1,461.90 and 743.70

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Solution

The fourth proportional to 975.30, 1,461.90 and 743.70 is: 1,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.30 : 1,461.90 = 743.70 : x
  2. Step 2: Convert to fraction form
    975.30/1,461.90 = 743.70/x
  3. Step 3: Cross multiply
    975.30x = 1,461.90 × 743.70
  4. Step 4: Simplify right side
    975.30x = 1,087,215.03
  5. Step 5: Solve for x
    x = 1,087,215.03/975.30
  6. Step 6: Final answer
    x = 1,114.75

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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.