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Finding the Fourth Proportional to 772.00, 1,158.01 and 284.78

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Solution

The fourth proportional to 772.00, 1,158.01 and 284.78 is: 427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.00 : 1,158.01 = 284.78 : x
  2. Step 2: Convert to fraction form
    772.00/1,158.01 = 284.78/x
  3. Step 3: Cross multiply
    772.00x = 1,158.01 × 284.78
  4. Step 4: Simplify right side
    772.00x = 329,780.27
  5. Step 5: Solve for x
    x = 329,780.27/772.00
  6. Step 6: Final answer
    x = 427.18

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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.