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Finding the Fourth Proportional to 776.08, 1,071 and 426.77

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Solution

The fourth proportional to 776.08, 1,071 and 426.77 is: 588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.08 : 1,071 = 426.77 : x
  2. Step 2: Convert to fraction form
    776.08/1,071 = 426.77/x
  3. Step 3: Cross multiply
    776.08x = 1,071 × 426.77
  4. Step 4: Simplify right side
    776.08x = 457,070.67
  5. Step 5: Solve for x
    x = 457,070.67/776.08
  6. Step 6: Final answer
    x = 588.95

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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.