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Finding the Fourth Proportional to 771.17, 1,157.06 and 405.77

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Solution

The fourth proportional to 771.17, 1,157.06 and 405.77 is: 608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.17 : 1,157.06 = 405.77 : x
  2. Step 2: Convert to fraction form
    771.17/1,157.06 = 405.77/x
  3. Step 3: Cross multiply
    771.17x = 1,157.06 × 405.77
  4. Step 4: Simplify right side
    771.17x = 469,495.47
  5. Step 5: Solve for x
    x = 469,495.47/771.17
  6. Step 6: Final answer
    x = 608.81

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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.