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Finding the Fourth Proportional to 975.28, 1,348.98 and 767.52

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Solution

The fourth proportional to 975.28, 1,348.98 and 767.52 is: 1,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.28 : 1,348.98 = 767.52 : x
  2. Step 2: Convert to fraction form
    975.28/1,348.98 = 767.52/x
  3. Step 3: Cross multiply
    975.28x = 1,348.98 × 767.52
  4. Step 4: Simplify right side
    975.28x = 1,035,369.13
  5. Step 5: Solve for x
    x = 1,035,369.13/975.28
  6. Step 6: Final answer
    x = 1,061.61

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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.