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Finding the Fourth Proportional to 1,172.95, 1,759.42 and 953.31

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Solution

The fourth proportional to 1,172.95, 1,759.42 and 953.31 is: 1,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.95 : 1,759.42 = 953.31 : x
  2. Step 2: Convert to fraction form
    1,172.95/1,759.42 = 953.31/x
  3. Step 3: Cross multiply
    1,172.95x = 1,759.42 × 953.31
  4. Step 4: Simplify right side
    1,172.95x = 1,677,276.68
  5. Step 5: Solve for x
    x = 1,677,276.68/1,172.95
  6. Step 6: Final answer
    x = 1,429.96

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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.