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Finding the Fourth Proportional to 846.85, 1,164.47 and 757.77

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Solution

The fourth proportional to 846.85, 1,164.47 and 757.77 is: 1,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.85 : 1,164.47 = 757.77 : x
  2. Step 2: Convert to fraction form
    846.85/1,164.47 = 757.77/x
  3. Step 3: Cross multiply
    846.85x = 1,164.47 × 757.77
  4. Step 4: Simplify right side
    846.85x = 882,402.33
  5. Step 5: Solve for x
    x = 882,402.33/846.85
  6. Step 6: Final answer
    x = 1,041.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.