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Finding the Fourth Proportional to 975.14, 1,461.17 and 757.03

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Solution

The fourth proportional to 975.14, 1,461.17 and 757.03 is: 1,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.14 : 1,461.17 = 757.03 : x
  2. Step 2: Convert to fraction form
    975.14/1,461.17 = 757.03/x
  3. Step 3: Cross multiply
    975.14x = 1,461.17 × 757.03
  4. Step 4: Simplify right side
    975.14x = 1,106,149.53
  5. Step 5: Solve for x
    x = 1,106,149.53/975.14
  6. Step 6: Final answer
    x = 1,134.35

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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.