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Finding the Fourth Proportional to 1,267.59, 1,750.07 and 972.29

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Solution

The fourth proportional to 1,267.59, 1,750.07 and 972.29 is: 1,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.59 : 1,750.07 = 972.29 : x
  2. Step 2: Convert to fraction form
    1,267.59/1,750.07 = 972.29/x
  3. Step 3: Cross multiply
    1,267.59x = 1,750.07 × 972.29
  4. Step 4: Simplify right side
    1,267.59x = 1,701,575.56
  5. Step 5: Solve for x
    x = 1,701,575.56/1,267.59
  6. Step 6: Final answer
    x = 1,342.37

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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.