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Finding the Fourth Proportional to 975.07, 1,344.70 and 762.41

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Solution

The fourth proportional to 975.07, 1,344.70 and 762.41 is: 1,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.07 : 1,344.70 = 762.41 : x
  2. Step 2: Convert to fraction form
    975.07/1,344.70 = 762.41/x
  3. Step 3: Cross multiply
    975.07x = 1,344.70 × 762.41
  4. Step 4: Simplify right side
    975.07x = 1,025,206.00
  5. Step 5: Solve for x
    x = 1,025,206.00/975.07
  6. Step 6: Final answer
    x = 1,051.42

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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.