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Finding the Fourth Proportional to 771.36, 1,156.53 and 424.86

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Solution

The fourth proportional to 771.36, 1,156.53 and 424.86 is: 637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.36 : 1,156.53 = 424.86 : x
  2. Step 2: Convert to fraction form
    771.36/1,156.53 = 424.86/x
  3. Step 3: Cross multiply
    771.36x = 1,156.53 × 424.86
  4. Step 4: Simplify right side
    771.36x = 491,363.73
  5. Step 5: Solve for x
    x = 491,363.73/771.36
  6. Step 6: Final answer
    x = 637.01

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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.