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Finding the Fourth Proportional to 771.36, 1,156.37 and 284.37

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Solution

The fourth proportional to 771.36, 1,156.37 and 284.37 is: 426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.36 : 1,156.37 = 284.37 : x
  2. Step 2: Convert to fraction form
    771.36/1,156.37 = 284.37/x
  3. Step 3: Cross multiply
    771.36x = 1,156.37 × 284.37
  4. Step 4: Simplify right side
    771.36x = 328,835.52
  5. Step 5: Solve for x
    x = 328,835.52/771.36
  6. Step 6: Final answer
    x = 426.31

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1.5x scale

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.