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Finding the Fourth Proportional to 776.07, 1,070.97 and 426.75

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Solution

The fourth proportional to 776.07, 1,070.97 and 426.75 is: 588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.07 : 1,070.97 = 426.75 : x
  2. Step 2: Convert to fraction form
    776.07/1,070.97 = 426.75/x
  3. Step 3: Cross multiply
    776.07x = 1,070.97 × 426.75
  4. Step 4: Simplify right side
    776.07x = 457,036.45
  5. Step 5: Solve for x
    x = 457,036.45/776.07
  6. Step 6: Final answer
    x = 588.91

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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.