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Finding the Fourth Proportional to 912.85, 1,370.46 and 783.68

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Solution

The fourth proportional to 912.85, 1,370.46 and 783.68 is: 1,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.85 : 1,370.46 = 783.68 : x
  2. Step 2: Convert to fraction form
    912.85/1,370.46 = 783.68/x
  3. Step 3: Cross multiply
    912.85x = 1,370.46 × 783.68
  4. Step 4: Simplify right side
    912.85x = 1,074,005.27
  5. Step 5: Solve for x
    x = 1,074,005.27/912.85
  6. Step 6: Final answer
    x = 1,176.54

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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.