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Finding the Fourth Proportional to 912.96, 1,370.62 and 783.79

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Solution

The fourth proportional to 912.96, 1,370.62 and 783.79 is: 1,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.96 : 1,370.62 = 783.79 : x
  2. Step 2: Convert to fraction form
    912.96/1,370.62 = 783.79/x
  3. Step 3: Cross multiply
    912.96x = 1,370.62 × 783.79
  4. Step 4: Simplify right side
    912.96x = 1,074,283.51
  5. Step 5: Solve for x
    x = 1,074,283.51/912.96
  6. Step 6: Final answer
    x = 1,176.70

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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.