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Finding the Fourth Proportional to 894.71, 1,339.22 and 860.69

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Solution

The fourth proportional to 894.71, 1,339.22 and 860.69 is: 1,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.71 : 1,339.22 = 860.69 : x
  2. Step 2: Convert to fraction form
    894.71/1,339.22 = 860.69/x
  3. Step 3: Cross multiply
    894.71x = 1,339.22 × 860.69
  4. Step 4: Simplify right side
    894.71x = 1,152,642.26
  5. Step 5: Solve for x
    x = 1,152,642.26/894.71
  6. Step 6: Final answer
    x = 1,288.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.