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Finding the Fourth Proportional to 975.82, 1,451.18 and 945.06

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Solution

The fourth proportional to 975.82, 1,451.18 and 945.06 is: 1,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.82 : 1,451.18 = 945.06 : x
  2. Step 2: Convert to fraction form
    975.82/1,451.18 = 945.06/x
  3. Step 3: Cross multiply
    975.82x = 1,451.18 × 945.06
  4. Step 4: Simplify right side
    975.82x = 1,371,447.45
  5. Step 5: Solve for x
    x = 1,371,447.45/975.82
  6. Step 6: Final answer
    x = 1,405.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.