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Finding the Fourth Proportional to 1,172.50, 1,617.30 and 752.71

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Solution

The fourth proportional to 1,172.50, 1,617.30 and 752.71 is: 1,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.50 : 1,617.30 = 752.71 : x
  2. Step 2: Convert to fraction form
    1,172.50/1,617.30 = 752.71/x
  3. Step 3: Cross multiply
    1,172.50x = 1,617.30 × 752.71
  4. Step 4: Simplify right side
    1,172.50x = 1,217,357.88
  5. Step 5: Solve for x
    x = 1,217,357.88/1,172.50
  6. Step 6: Final answer
    x = 1,038.26

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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.