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Finding the Fourth Proportional to 771.87, 1,158.31 and 284.93

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Solution

The fourth proportional to 771.87, 1,158.31 and 284.93 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.87 : 1,158.31 = 284.93 : x
  2. Step 2: Convert to fraction form
    771.87/1,158.31 = 284.93/x
  3. Step 3: Cross multiply
    771.87x = 1,158.31 × 284.93
  4. Step 4: Simplify right side
    771.87x = 330,037.27
  5. Step 5: Solve for x
    x = 330,037.27/771.87
  6. Step 6: Final answer
    x = 427.58

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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.