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Finding the Fourth Proportional to 776.61, 1,165.10 and 228.77

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Solution

The fourth proportional to 776.61, 1,165.10 and 228.77 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.61 : 1,165.10 = 228.77 : x
  2. Step 2: Convert to fraction form
    776.61/1,165.10 = 228.77/x
  3. Step 3: Cross multiply
    776.61x = 1,165.10 × 228.77
  4. Step 4: Simplify right side
    776.61x = 266,539.93
  5. Step 5: Solve for x
    x = 266,539.93/776.61
  6. Step 6: Final answer
    x = 343.21

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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.