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Finding the Fourth Proportional to 771.18, 1,156.97 and 424.81

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Solution

The fourth proportional to 771.18, 1,156.97 and 424.81 is: 637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.18 : 1,156.97 = 424.81 : x
  2. Step 2: Convert to fraction form
    771.18/1,156.97 = 424.81/x
  3. Step 3: Cross multiply
    771.18x = 1,156.97 × 424.81
  4. Step 4: Simplify right side
    771.18x = 491,492.43
  5. Step 5: Solve for x
    x = 491,492.43/771.18
  6. Step 6: Final answer
    x = 637.33

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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.