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Finding the Fourth Proportional to 780.93, 1,077.70 and 426.86

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Solution

The fourth proportional to 780.93, 1,077.70 and 426.86 is: 589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.93 : 1,077.70 = 426.86 : x
  2. Step 2: Convert to fraction form
    780.93/1,077.70 = 426.86/x
  3. Step 3: Cross multiply
    780.93x = 1,077.70 × 426.86
  4. Step 4: Simplify right side
    780.93x = 460,022.19
  5. Step 5: Solve for x
    x = 460,022.19/780.93
  6. Step 6: Final answer
    x = 589.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.