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Finding the Fourth Proportional to 772.72, 1,158.85 and 310.35

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Solution

The fourth proportional to 772.72, 1,158.85 and 310.35 is: 465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.72 : 1,158.85 = 310.35 : x
  2. Step 2: Convert to fraction form
    772.72/1,158.85 = 310.35/x
  3. Step 3: Cross multiply
    772.72x = 1,158.85 × 310.35
  4. Step 4: Simplify right side
    772.72x = 359,649.10
  5. Step 5: Solve for x
    x = 359,649.10/772.72
  6. Step 6: Final answer
    x = 465.43

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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.