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Finding the Fourth Proportional to 975.29, 1,468.44 and 860.45

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Solution

The fourth proportional to 975.29, 1,468.44 and 860.45 is: 1,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.29 : 1,468.44 = 860.45 : x
  2. Step 2: Convert to fraction form
    975.29/1,468.44 = 860.45/x
  3. Step 3: Cross multiply
    975.29x = 1,468.44 × 860.45
  4. Step 4: Simplify right side
    975.29x = 1,263,511.86
  5. Step 5: Solve for x
    x = 1,263,511.86/975.29
  6. Step 6: Final answer
    x = 1,295.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.