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Finding the Fourth Proportional to 771.18, 1,155.99 and 283.89

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Solution

The fourth proportional to 771.18, 1,155.99 and 283.89 is: 425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.18 : 1,155.99 = 283.89 : x
  2. Step 2: Convert to fraction form
    771.18/1,155.99 = 283.89/x
  3. Step 3: Cross multiply
    771.18x = 1,155.99 × 283.89
  4. Step 4: Simplify right side
    771.18x = 328,174.00
  5. Step 5: Solve for x
    x = 328,174.00/771.18
  6. Step 6: Final answer
    x = 425.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.