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Finding the Fourth Proportional to 771.76, 1,156.71 and 284.54

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Solution

The fourth proportional to 771.76, 1,156.71 and 284.54 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.76 : 1,156.71 = 284.54 : x
  2. Step 2: Convert to fraction form
    771.76/1,156.71 = 284.54/x
  3. Step 3: Cross multiply
    771.76x = 1,156.71 × 284.54
  4. Step 4: Simplify right side
    771.76x = 329,130.26
  5. Step 5: Solve for x
    x = 329,130.26/771.76
  6. Step 6: Final answer
    x = 426.47

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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.