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Finding the Fourth Proportional to 912.24, 1,359.69 and 860.34

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Solution

The fourth proportional to 912.24, 1,359.69 and 860.34 is: 1,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.24 : 1,359.69 = 860.34 : x
  2. Step 2: Convert to fraction form
    912.24/1,359.69 = 860.34/x
  3. Step 3: Cross multiply
    912.24x = 1,359.69 × 860.34
  4. Step 4: Simplify right side
    912.24x = 1,169,794.79
  5. Step 5: Solve for x
    x = 1,169,794.79/912.24
  6. Step 6: Final answer
    x = 1,282.34

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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.