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Finding the Fourth Proportional to 874.57, 1,310.54 and 776.77

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Solution

The fourth proportional to 874.57, 1,310.54 and 776.77 is: 1,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.57 : 1,310.54 = 776.77 : x
  2. Step 2: Convert to fraction form
    874.57/1,310.54 = 776.77/x
  3. Step 3: Cross multiply
    874.57x = 1,310.54 × 776.77
  4. Step 4: Simplify right side
    874.57x = 1,017,988.16
  5. Step 5: Solve for x
    x = 1,017,988.16/874.57
  6. Step 6: Final answer
    x = 1,163.99

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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.